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30888864 = 253417701
BaseRepresentation
bin111010111010…
…1001110100000
32011010022120000
41311311032200
530401420424
63022020000
7523356666
oct165651640
964108500
1030888864
1116488296
12a417600
136526746
144160c36
152aa23c9
hex1d753a0

30888864 has 120 divisors (see below), whose sum is σ = 96324228. Its totient is φ = 9676800.

The previous prime is 30888863. The next prime is 30888887. The reversal of 30888864 is 46888803.

It can be written as a sum of positive squares in 2 ways, for example, as 27248400 + 3640464 = 5220^2 + 1908^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30888863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 43714 + ... + 44414.

Almost surely, 230888864 is an apocalyptic number.

30888864 is a gapful number since it is divisible by the number (34) 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 30888864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48162114).

30888864 is an abundant number, since it is smaller than the sum of its proper divisors (65435364).

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

30888864 is a wasteful number, since it uses less digits than its factorization.

30888864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 740 (or 723 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 30888864 is about 5557.7750944060. The cubic root of 30888864 is about 313.7622173726.

The spelling of 30888864 in words is "thirty million, eight hundred eighty-eight thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 68 72 81 96 102 108 136 144 153 162 204 216 272 288 306 324 408 432 459 544 612 648 701 816 864 918 1224 1296 1377 1402 1632 1836 2103 2448 2592 2754 2804 3672 4206 4896 5508 5608 6309 7344 8412 11016 11216 11917 12618 14688 16824 18927 22032 22432 23834 25236 33648 35751 37854 44064 47668 50472 56781 67296 71502 75708 95336 100944 107253 113562 143004 151416 190672 201888 214506 227124 286008 302832 321759 381344 429012 454248 572016 605664 643518 858024 908496 965277 1144032 1287036 1716048 1816992 1930554 2574072 3432096 3861108 5148144 7722216 10296288 15444432 30888864