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340434203204340 = 2232571703931585663
BaseRepresentation
bin100110101100111111000001…
…1110000000101101011110100
31122122101012011221210202221100
41031121332003300011223310
5324110133222010014330
63204013151450050100
7131464362626061540
oct11531760360055364
91578335157722840
10340434203204340
1199522375675613
1232222519a19930
13117c5a6643105b
14600d16384aa20
15295571cab2060
hex1359f83c05af4

340434203204340 has 144 divisors (see below), whose sum is σ = 1180179574898688. Its totient is φ = 77813026417152.

The previous prime is 340434203204339. The next prime is 340434203204387. The reversal of 340434203204340 is 43402302434043.

340434203204340 is a `hidden beast` number, since 3 + 404 + 3 + 4 + 2 + 0 + 3 + 204 + 3 + 40 = 666.

It is a super-2 number, since 2×3404342032043402 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 340434203204295 and 340434203204304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 213902349 + ... + 215488011.

It is an arithmetic number, because the mean of its divisors is an integer number (8195691492352).

Almost surely, 2340434203204340 is an apocalyptic number.

340434203204340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

340434203204340 is an abundant number, since it is smaller than the sum of its proper divisors (839745371694348).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

340434203204340 is a wasteful number, since it uses less digits than its factorization.

340434203204340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1756078 (or 1756073 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 36.

Adding to 340434203204340 its reverse (43402302434043), we get a palindrome (383836505638383).

The spelling of 340434203204340 in words is "three hundred forty trillion, four hundred thirty-four billion, two hundred three million, two hundred four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 170393 340786 511179 681572 851965 1022358 1192751 1533537 1585663 1703930 2044716 2385502 2555895 3067074 3171326 3407860 3578253 4756989 4771004 5111790 5963755 6134148 6342652 7156506 7667685 7928315 9513978 10223580 10734759 11099641 11927510 14270967 14313012 15335370 15856630 17891265 19027956 21469518 22199282 23784945 23855020 28541934 30670740 31713260 33298923 35782530 42939036 44398564 47569890 53673795 55498205 57083868 66597846 71354835 71565060 95139780 99896769 107347590 110996410 133195692 142709670 166494615 199793538 214695180 221992820 285419340 332989230 399587076 499483845 665978460 998967690 1997935380 270185875559 540371751118 810557626677 1080743502236 1350929377795 1621115253354 1891301128913 2431672880031 2701858755590 3242230506708 3782602257826 4052788133385 4863345760062 5403717511180 5673903386739 7565204515652 8105576266770 9456505644565 9726691520124 11347806773478 12158364400155 16211152533540 17021710160217 18913011289130 22695613546956 24316728800310 28369516933695 34043420320434 37826022578260 48633457600620 56739033867390 68086840640868 85108550801085 113478067734780 170217101602170 340434203204340