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30810304 = 26797709
BaseRepresentation
bin111010110001…
…0000011000000
32010222022210101
41311202003000
530341412204
63020212144
7522611650
oct165420300
963868711
1030810304
1116434268
12a39a054
1364c9a65
144140360
152a88ea4
hex1d620c0

30810304 has 56 divisors (see below), whose sum is σ = 70693280. Its totient is φ = 13049856.

The previous prime is 30810281. The next prime is 30810313. The reversal of 30810304 is 40301803.

It is a tau number, because it is divible by the number of its divisors (56).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43102 + ... + 43810.

It is an arithmetic number, because the mean of its divisors is an integer number (1262380).

Almost surely, 230810304 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 30810304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35346640).

30810304 is an abundant number, since it is smaller than the sum of its proper divisors (39882976).

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

30810304 is an equidigital number, since it uses as much as digits as its factorization.

30810304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 825 (or 815 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 30810304 is about 5550.7030185374. The cubic root of 30810304 is about 313.4959932063.

The spelling of 30810304 in words is "thirty million, eight hundred ten thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 97 112 194 224 388 448 679 709 776 1358 1418 1552 2716 2836 3104 4963 5432 5672 6208 9926 10864 11344 19852 21728 22688 39704 43456 45376 68773 79408 137546 158816 275092 317632 481411 550184 962822 1100368 1925644 2200736 3851288 4401472 7702576 15405152 30810304