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34230523320 = 23335761199373
BaseRepresentation
bin11111111000010011…
…000101010110111000
310021100120202202101000
4133320103011112320
51030101003221240
623420354525000
72321156435040
oct377023052670
9107316682330
1034230523320
11135762688a4
126773896760
1332c699a036
14192a248720
15d55237430
hex7f84c55b8

34230523320 has 512 divisors, whose sum is σ = 133562880000. Its totient is φ = 7636654080.

The previous prime is 34230523319. The next prime is 34230523399. The reversal of 34230523320 is 2332503243.

34230523320 is a `hidden beast` number, since 3 + 423 + 0 + 5 + 233 + 2 + 0 = 666.

It is a super-2 number, since 2×342305233202 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 127 ways as a sum of consecutive naturals, for example, 91770654 + ... + 91771026.

It is an arithmetic number, because the mean of its divisors is an integer number (260865000).

Almost surely, 234230523320 is an apocalyptic number.

34230523320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34230523320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66781440000).

34230523320 is an abundant number, since it is smaller than the sum of its proper divisors (99332356680).

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

34230523320 is a wasteful number, since it uses less digits than its factorization.

34230523320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660 (or 650 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 27.

The spelling of 34230523320 in words is "thirty-four billion, two hundred thirty million, five hundred twenty-three thousand, three hundred twenty".