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34300311540 = 223511113459913
BaseRepresentation
bin11111111100011101…
…010011011111110100
310021112110002100210220
4133330131103133310
51030221334432130
623431330414340
72322664560165
oct377435233764
9107473070726
1034300311540
11136016a4810
1267931313b0
133308293341
14193561376c
15d5b420410
hex7fc7537f4

34300311540 has 96 divisors (see below), whose sum is σ = 105699275136. Its totient is φ = 8241623040.

The previous prime is 34300311533. The next prime is 34300311541. The reversal of 34300311540 is 4511300343.

It is a happy number.

It is a super-2 number, since 2×343003115402 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 34300311540.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34300311541) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 155377 + ... + 304536.

It is an arithmetic number, because the mean of its divisors is an integer number (1101034116).

Almost surely, 234300311540 is an apocalyptic number.

34300311540 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34300311540 is an abundant number, since it is smaller than the sum of its proper divisors (71398963596).

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

34300311540 is a wasteful number, since it uses less digits than its factorization.

34300311540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460049 (or 460047 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

Adding to 34300311540 its reverse (4511300343), we get a palindrome (38811611883).

The spelling of 34300311540 in words is "thirty-four billion, three hundred million, three hundred eleven thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 113 132 165 220 226 330 339 452 565 660 678 1130 1243 1356 1695 2260 2486 3390 3729 4972 6215 6780 7458 12430 14916 18645 24860 37290 74580 459913 919826 1379739 1839652 2299565 2759478 4599130 5059043 5518956 6898695 9198260 10118086 13797390 15177129 20236172 25295215 27594780 30354258 50590430 51970169 60708516 75885645 101180860 103940338 151771290 155910507 207880676 259850845 303542580 311821014 519701690 571671859 623642028 779552535 1039403380 1143343718 1559105070 1715015577 2286687436 2858359295 3118210140 3430031154 5716718590 6860062308 8575077885 11433437180 17150155770 34300311540