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30655296 = 263277603
BaseRepresentation
bin111010011110…
…0001101000000
32010200110011100
41310330031000
530321432141
63013014400
7521365020
oct164741500
963613140
1030655296
1116338861
12a324400
136474339
1440dda80
152a580b6
hex1d3c340

30655296 has 84 divisors (see below), whose sum is σ = 100433632. Its totient is φ = 8757504.

The previous prime is 30655271. The next prime is 30655333. The reversal of 30655296 is 69255603.

It is a tau number, because it is divible by the number of its divisors (84).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 30655296.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 231 + ... + 7833.

Almost surely, 230655296 is an apocalyptic number.

30655296 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 30655296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50216816).

30655296 is an abundant number, since it is smaller than the sum of its proper divisors (69778336).

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

30655296 is a wasteful number, since it uses less digits than its factorization.

30655296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7628 (or 7615 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The square root of 30655296 is about 5536.7224962066. The cubic root of 30655296 is about 312.9693716691.

The spelling of 30655296 in words is "thirty million, six hundred fifty-five thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 144 168 192 224 252 288 336 448 504 576 672 1008 1344 2016 4032 7603 15206 22809 30412 45618 53221 60824 68427 91236 106442 121648 136854 159663 182472 212884 243296 273708 319326 364944 425768 478989 486592 547416 638652 729888 851536 957978 1094832 1277304 1459776 1703072 1915956 2189664 2554608 3406144 3831912 4379328 5109216 7663824 10218432 15327648 30655296