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30888936 = 23321361541
BaseRepresentation
bin111010111010…
…1001111101000
32011010022122200
41311311033220
530401421221
63022020200
7523360131
oct165651750
964108580
1030888936
1116488351
12a417660
1365267a0
144160c88
152aa2426
hex1d753e8

30888936 has 96 divisors (see below), whose sum is σ = 91738920. Its totient is φ = 9331200.

The previous prime is 30888929. The next prime is 30888937. The reversal of 30888936 is 63988803.

It can be written as a sum of positive squares in 4 ways, for example, as 10692900 + 20196036 = 3270^2 + 4494^2 .

It is a junction number, because it is equal to n+sod(n) for n = 30888891 and 30888900.

It is not an unprimeable number, because it can be changed into a prime (30888937) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56826 + ... + 57366.

Almost surely, 230888936 is an apocalyptic number.

30888936 is a gapful number since it is divisible by the number (36) 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 30888936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45869460).

30888936 is an abundant number, since it is smaller than the sum of its proper divisors (60849984).

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

30888936 is a wasteful number, since it uses less digits than its factorization.

30888936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 30888936 is about 5557.7815718144. The cubic root of 30888936 is about 313.7624611591.

The spelling of 30888936 in words is "thirty million, eight hundred eighty-eight thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 61 72 78 104 117 122 156 183 234 244 312 366 468 488 541 549 732 793 936 1082 1098 1464 1586 1623 2164 2196 2379 3172 3246 4328 4392 4758 4869 6344 6492 7033 7137 9516 9738 12984 14066 14274 19032 19476 21099 28132 28548 33001 38952 42198 56264 57096 63297 66002 84396 99003 126594 132004 168792 198006 253188 264008 297009 396012 429013 506376 594018 792024 858026 1188036 1287039 1716052 2376072 2574078 3432104 3861117 5148156 7722234 10296312 15444468 30888936