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34457442276 = 22331145963487
BaseRepresentation
bin100000000101110100…
…101101011111100100
310021221101202102122210
4200011310231133210
51031032101123101
623455102323420
72326613266245
oct400564553744
9107841672583
1034457442276
1113682367424
126817889570
1333319baaca
14194c436ccc
15d6a10c7d6
hex805d2d7e4

34457442276 has 48 divisors (see below), whose sum is σ = 83052462080. Its totient is φ = 11107510560.

The previous prime is 34457442269. The next prime is 34457442277. The reversal of 34457442276 is 67224475443.

It is not an unprimeable number, because it can be changed into a prime (34457442277) by changing a digit.

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, 511005 + ... + 574491.

Almost surely, 234457442276 is an apocalyptic number.

It is an amenable number.

34457442276 is an abundant number, since it is smaller than the sum of its proper divisors (48595019804).

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

34457442276 is a wasteful number, since it uses less digits than its factorization.

34457442276 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64984 (or 64982 counting only the distinct ones).

The product of its digits is 4515840, while the sum is 48.

The spelling of 34457442276 in words is "thirty-four billion, four hundred fifty-seven million, four hundred forty-two thousand, two hundred seventy-six".

Divisors: 1 2 3 4 6 12 31 62 93 124 186 372 1459 2918 4377 5836 8754 17508 45229 63487 90458 126974 135687 180916 190461 253948 271374 380922 542748 761844 1968097 3936194 5904291 7872388 11808582 23617164 92627533 185255066 277882599 370510132 555765198 1111530396 2871453523 5742907046 8614360569 11485814092 17228721138 34457442276