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30244864 = 2151371
BaseRepresentation
bin111001101100…
…0000000000000
32002220121011011
41303120000000
530220313424
63000130304
7515035306
oct163300000
962817134
1030244864
1116088461
12a166994
13635c590
144034276
1529c6694
hex1cd8000

30244864 has 64 divisors (see below), whose sum is σ = 66059280. Its totient is φ = 13762560.

The previous prime is 30244861. The next prime is 30244897. The reversal of 30244864 is 46844203.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30244861) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 425949 + ... + 426019.

Almost surely, 230244864 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 30244864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33029640).

30244864 is an abundant number, since it is smaller than the sum of its proper divisors (35814416).

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

30244864 is an frugal number, since it uses more digits than its factorization.

30244864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 31.

The square root of 30244864 is about 5499.5330710889. The cubic root of 30244864 is about 311.5663491119.

The spelling of 30244864 in words is "thirty million, two hundred forty-four thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 71 104 128 142 208 256 284 416 512 568 832 923 1024 1136 1664 1846 2048 2272 3328 3692 4096 4544 6656 7384 8192 9088 13312 14768 16384 18176 26624 29536 32768 36352 53248 59072 72704 106496 118144 145408 212992 236288 290816 425984 472576 581632 945152 1163264 1890304 2326528 3780608 7561216 15122432 30244864