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340434003540 = 223517347961841
BaseRepresentation
bin1001111010000110111…
…00101010011001010100
31012112201102122020011210
410331003130222121110
521034202101103130
6420220534101420
733411162166521
oct4750334523124
91175642566153
10340434003540
11121417135654
1255b8a7aa870
1326144a99aa7
1412697206148
158cc73245b0
hex4f4372a654

340434003540 has 96 divisors (see below), whose sum is σ = 1012196352384. Its totient is φ = 85195939840.

The previous prime is 340434003529. The next prime is 340434003587. The reversal of 340434003540 is 45300434043.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 340434003498 and 340434003507.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 126981 + ... + 834860.

It is an arithmetic number, because the mean of its divisors is an integer number (10543712004).

Almost surely, 2340434003540 is an apocalyptic number.

340434003540 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 340434003540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506098176192).

340434003540 is an abundant number, since it is smaller than the sum of its proper divisors (671762348844).

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

340434003540 is a wasteful number, since it uses less digits than its factorization.

340434003540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 962217 (or 962215 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 30.

Adding to 340434003540 its reverse (45300434043), we get a palindrome (385734437583).

The spelling of 340434003540 in words is "three hundred forty billion, four hundred thirty-four million, three thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 347 510 694 1020 1041 1388 1735 2082 3470 4164 5205 5899 6940 10410 11798 17697 20820 23596 29495 35394 58990 70788 88485 117980 176970 353940 961841 1923682 2885523 3847364 4809205 5771046 9618410 11542092 14427615 16351297 19236820 28855230 32702594 49053891 57710460 65405188 81756485 98107782 163512970 196215564 245269455 327025940 333758827 490538910 667517654 981077820 1001276481 1335035308 1668794135 2002552962 3337588270 4005105924 5006382405 5673900059 6675176540 10012764810 11347800118 17021700177 20025529620 22695600236 28369500295 34043400354 56739000590 68086800708 85108500885 113478001180 170217001770 340434003540