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34246541024 = 258313794117
BaseRepresentation
bin11111111001010000…
…001011111011100000
310021101200220112112022
4133321100023323200
51030114103303044
623422130121012
72321442536633
oct377120137340
9107350815468
1034246541024
1113584309173
126779120168
1332ca0b7977
14192c417c1a
15d5684d3ee
hex7f940bee0

34246541024 has 48 divisors (see below), whose sum is σ = 68733998928. Its totient is φ = 16793306112.

The previous prime is 34246540957. The next prime is 34246541033. The reversal of 34246541024 is 42014564243.

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 7 ways as a sum of consecutive naturals, for example, 316814 + ... + 410930.

It is an arithmetic number, because the mean of its divisors is an integer number (1431958311).

Almost surely, 234246541024 is an apocalyptic number.

It is an amenable number.

34246541024 is an abundant number, since it is smaller than the sum of its proper divisors (34487457904).

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

34246541024 is a wasteful number, since it uses less digits than its factorization.

34246541024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94347 (or 94339 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 35.

The spelling of 34246541024 in words is "thirty-four billion, two hundred forty-six million, five hundred forty-one thousand, twenty-four".

Divisors: 1 2 4 8 16 32 83 137 166 274 332 548 664 1096 1328 2192 2656 4384 11371 22742 45484 90968 94117 181936 188234 363872 376468 752936 1505872 3011744 7811711 12894029 15623422 25788058 31246844 51576116 62493688 103152232 124987376 206304464 249974752 412608928 1070204407 2140408814 4280817628 8561635256 17123270512 34246541024