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30824664 = 23313313187
BaseRepresentation
bin111010110010…
…1100011011000
32011000001111020
41311211203120
530342342124
63020402440
7523001553
oct165454330
964001436
1030824664
1116444032
12a3a6420
136503460
14414569a
152a8d379
hex1d658d8

30824664 has 64 divisors (see below), whose sum is σ = 85693440. Its totient is φ = 9175680.

The previous prime is 30824659. The next prime is 30824671. The reversal of 30824664 is 46642803.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 8079 + ... + 11265.

It is an arithmetic number, because the mean of its divisors is an integer number (1338960).

Almost surely, 230824664 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 30824664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42846720).

30824664 is an abundant number, since it is smaller than the sum of its proper divisors (54868776).

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

30824664 is a wasteful number, since it uses less digits than its factorization.

30824664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3240 (or 3236 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 30824664 is about 5551.9963976934. The cubic root of 30824664 is about 313.5446901536.

The spelling of 30824664 in words is "thirty million, eight hundred twenty-four thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 31 39 52 62 78 93 104 124 156 186 248 312 372 403 744 806 1209 1612 2418 3187 3224 4836 6374 9561 9672 12748 19122 25496 38244 41431 76488 82862 98797 124293 165724 197594 248586 296391 331448 395188 497172 592782 790376 994344 1185564 1284361 2371128 2568722 3853083 5137444 7706166 10274888 15412332 30824664