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30454944 = 25313231061
BaseRepresentation
bin111010000101…
…1010010100000
32010022021022220
41310023102200
530244024234
63004431040
7516601632
oct164132240
963267286
1030454944
1116211283
12a248480
1364040a0
14408aa52
152a18a49
hex1d0b4a0

30454944 has 96 divisors (see below), whose sum is σ = 89921664. Its totient is φ = 8954880.

The previous prime is 30454909. The next prime is 30454951. The reversal of 30454944 is 44945403.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×304549442 = 1855007228086272, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28174 + ... + 29234.

It is an arithmetic number, because the mean of its divisors is an integer number (936684).

Almost surely, 230454944 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 30454944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44960832).

30454944 is an abundant number, since it is smaller than the sum of its proper divisors (59466720).

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

30454944 is a wasteful number, since it uses less digits than its factorization.

30454944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1110 (or 1102 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 30454944 is about 5518.5998224187. The cubic root of 30454944 is about 312.2860624250.

The spelling of 30454944 in words is "thirty million, four hundred fifty-four thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 23 24 26 32 39 46 48 52 69 78 92 96 104 138 156 184 208 276 299 312 368 416 552 598 624 736 897 1061 1104 1196 1248 1794 2122 2208 2392 3183 3588 4244 4784 6366 7176 8488 9568 12732 13793 14352 16976 24403 25464 27586 28704 33952 41379 48806 50928 55172 73209 82758 97612 101856 110344 146418 165516 195224 220688 292836 317239 331032 390448 441376 585672 634478 662064 780896 951717 1171344 1268956 1324128 1903434 2342688 2537912 3806868 5075824 7613736 10151648 15227472 30454944