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34076373261 = 37333116009
BaseRepresentation
bin11111101111000111…
…000011000100001101
310020221211201010020120
4133233013003010031
51024242022421021
623353210535153
72314305252000
oct375707030415
9106854633216
1034076373261
11134a7251657
1267301374b9
1332a0a77198
14191399d537
15d469382c6
hex7ef1c310d

34076373261 has 16 divisors (see below), whose sum is σ = 52985616000. Its totient is φ = 19472212704.

The previous prime is 34076373181. The next prime is 34076373269. The reversal of 34076373261 is 16237367043.

It is not a de Polignac number, because 34076373261 - 210 = 34076372237 is a prime.

It is a super-2 number, since 2×340763732612 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34076373269) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 16556976 + ... + 16559033.

It is an arithmetic number, because the mean of its divisors is an integer number (3311601000).

Almost surely, 234076373261 is an apocalyptic number.

It is an amenable number.

34076373261 is a deficient number, since it is larger than the sum of its proper divisors (18909242739).

34076373261 is an equidigital number, since it uses as much as digits as its factorization.

34076373261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33116033 (or 33116019 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 42.

The spelling of 34076373261 in words is "thirty-four billion, seventy-six million, three hundred seventy-three thousand, two hundred sixty-one".

Divisors: 1 3 7 21 49 147 343 1029 33116009 99348027 231812063 695436189 1622684441 4868053323 11358791087 34076373261