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30613504 = 21337101
BaseRepresentation
bin111010011001…
…0000000000000
32010121022211111
41310302000000
530314113004
63012053104
7521132125
oct164620000
963538744
1030613504
111630a419
12a304194
13645b2cc
1440cc74c
152a4aa04
hex1d32000

30613504 has 56 divisors (see below), whose sum is σ = 63500508. Its totient is φ = 14745600.

The previous prime is 30613501. The next prime is 30613547. The reversal of 30613504 is 40531603.

It can be written as a sum of positive squares in 2 ways, for example, as 23040000 + 7573504 = 4800^2 + 2752^2 .

It is not an unprimeable number, because it can be changed into a prime (30613501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 303054 + ... + 303154.

Almost surely, 230613504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30613504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31750254).

30613504 is an abundant number, since it is smaller than the sum of its proper divisors (32887004).

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

30613504 is an equidigital number, since it uses as much as digits as its factorization.

30613504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 22.

The square root of 30613504 is about 5532.9471351171. The cubic root of 30613504 is about 312.8270845175.

The spelling of 30613504 in words is "thirty million, six hundred thirteen thousand, five hundred four".

Divisors: 1 2 4 8 16 32 37 64 74 101 128 148 202 256 296 404 512 592 808 1024 1184 1616 2048 2368 3232 3737 4096 4736 6464 7474 8192 9472 12928 14948 18944 25856 29896 37888 51712 59792 75776 103424 119584 151552 206848 239168 303104 413696 478336 827392 956672 1913344 3826688 7653376 15306752 30613504