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30394368 = 211321797
BaseRepresentation
bin111001111110…
…0100000000000
32010012012020100
41303330200000
530240104433
63003242400
7516230214
oct163744000
963165210
1030394368
111617a814
12a219400
1363b2644
144072944
152a05b13
hex1cfc800

30394368 has 144 divisors (see below), whose sum is σ = 93906540. Its totient is φ = 9437184.

The previous prime is 30394333. The next prime is 30394391. The reversal of 30394368 is 86349303.

It can be written as a sum of positive squares in 2 ways, for example, as 29942784 + 451584 = 5472^2 + 672^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×303943682 = 1847635212238848, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 313296 + ... + 313392.

Almost surely, 230394368 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 30394368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46953270).

30394368 is an abundant number, since it is smaller than the sum of its proper divisors (63512172).

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

30394368 is a wasteful number, since it uses less digits than its factorization.

30394368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 30394368 is about 5513.1087418987. The cubic root of 30394368 is about 312.0788755216.

The spelling of 30394368 in words is "thirty million, three hundred ninety-four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 97 102 128 136 144 153 192 194 204 256 272 288 291 306 384 388 408 512 544 576 582 612 768 776 816 873 1024 1088 1152 1164 1224 1536 1552 1632 1649 1746 2048 2176 2304 2328 2448 3072 3104 3264 3298 3492 4352 4608 4656 4896 4947 6144 6208 6528 6596 6984 8704 9216 9312 9792 9894 12416 13056 13192 13968 14841 17408 18432 18624 19584 19788 24832 26112 26384 27936 29682 34816 37248 39168 39576 49664 52224 52768 55872 59364 74496 78336 79152 99328 104448 105536 111744 118728 148992 156672 158304 198656 211072 223488 237456 297984 313344 316608 422144 446976 474912 595968 633216 844288 893952 949824 1266432 1688576 1787904 1899648 2532864 3377152 3799296 5065728 7598592 10131456 15197184 30394368