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34343102024 = 23711173279517
BaseRepresentation
bin11111111111000000…
…100010011001001000
310021122102121100022122
4133333000202121020
51030313313231044
623435455510412
72324024356610
oct377700423110
9107572540278
1034343102024
1113623870950
1267a5528408
1333140c605a
14193b191a40
15d60073dee
hex7ff022648

34343102024 has 64 divisors (see below), whose sum is σ = 85005106560. Its totient is φ = 12593341440.

The previous prime is 34343102009. The next prime is 34343102033. The reversal of 34343102024 is 42020134343.

It is a junction number, because it is equal to n+sod(n) for n = 34343101984 and 34343102002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1629287 + ... + 1650230.

It is an arithmetic number, because the mean of its divisors is an integer number (1328204790).

Almost surely, 234343102024 is an apocalyptic number.

34343102024 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

34343102024 is an abundant number, since it is smaller than the sum of its proper divisors (50662004536).

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

34343102024 is a wasteful number, since it uses less digits than its factorization.

34343102024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3279558 (or 3279554 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 34343102024 its reverse (42020134343), we get a palindrome (76363236367).

The spelling of 34343102024 in words is "thirty-four billion, three hundred forty-three million, one hundred two thousand, twenty-four".

Divisors: 1 2 4 7 8 11 14 17 22 28 34 44 56 68 77 88 119 136 154 187 238 308 374 476 616 748 952 1309 1496 2618 5236 10472 3279517 6559034 13118068 22956619 26236136 36074687 45913238 55751789 72149374 91826476 111503578 144298748 183652952 223007156 252522809 288597496 390262523 446014312 505045618 613269679 780525046 1010091236 1226539358 1561050092 2020182472 2453078716 3122100184 4292887753 4906157432 8585775506 17171551012 34343102024