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34290317472 = 253615855587
BaseRepresentation
bin11111111011110111…
…001011100010100000
310021111202021121112020
4133323313023202200
51030211310124342
623430332301440
72322513614025
oct377367134240
9107452247466
1034290317472
11135a6a99054
12678b911880
1333061a43a8
14193417154c
15d5a5e90ec
hex7fbdcb8a0

34290317472 has 48 divisors (see below), whose sum is σ = 91487706912. Its totient is φ = 11242725120.

The previous prime is 34290317443. The next prime is 34290317473. The reversal of 34290317472 is 27471309243.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (34290317473) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2921938 + ... + 2933649.

It is an arithmetic number, because the mean of its divisors is an integer number (1905993894).

Almost surely, 234290317472 is an apocalyptic number.

34290317472 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

34290317472 is an abundant number, since it is smaller than the sum of its proper divisors (57197389440).

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

34290317472 is a wasteful number, since it uses less digits than its factorization.

34290317472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5855661 (or 5855653 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 42.

The spelling of 34290317472 in words is "thirty-four billion, two hundred ninety million, three hundred seventeen thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 96 122 183 244 366 488 732 976 1464 1952 2928 5856 5855587 11711174 17566761 23422348 35133522 46844696 70267044 93689392 140534088 187378784 281068176 357190807 562136352 714381614 1071572421 1428763228 2143144842 2857526456 4286289684 5715052912 8572579368 11430105824 17145158736 34290317472