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30817100304 = 2432146292
BaseRepresentation
bin11100101100110101…
…111010001000010000
32221112200210220021100
4130230311322020100
51001103134202204
622053541224400
72140451013324
oct345465721020
987480726240
1030817100304
11120844a4641
125b80702100
132ba17545c3
1416c4b85984
15c0572ca39
hex72cd7a210

30817100304 has 45 divisors (see below), whose sum is σ = 86250975213. Its totient is φ = 10271664576.

The previous prime is 30817100287. The next prime is 30817100309. The reversal of 30817100304 is 40300171803.

The square root of 30817100304 is 175548.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 5497925904 + 25319174400 = 74148^2 + 159120^2 .

It is a super-2 number, since 2×308171003042 (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (30817100309) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2099262 + ... + 2113890.

Almost surely, 230817100304 is an apocalyptic number.

30817100304 is the 175548-th square number.

It is an amenable number.

30817100304 is an abundant number, since it is smaller than the sum of its proper divisors (55433874909).

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

30817100304 is an frugal number, since it uses more digits than its factorization.

30817100304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29272 (or 14634 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 30817100304 in words is "thirty billion, eight hundred seventeen million, one hundred thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 14629 29258 43887 58516 87774 117032 131661 175548 234064 263322 351096 526644 702192 1053288 2106576 214007641 428015282 642022923 856030564 1284045846 1712061128 1926068769 2568091692 3424122256 3852137538 5136183384 7704275076 10272366768 15408550152 30817100304