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30894304 = 2572171961
BaseRepresentation
bin111010111011…
…0100011100000
32011010121000111
41311312203200
530402104204
63022101104
7523411600
oct165664340
964117014
1030894304
1116491391
12a41a794
13652906c
144162c00
152aa3d04
hex1d768e0

30894304 has 144 divisors (see below), whose sum is σ = 80151120. Its totient is φ = 11612160.

The previous prime is 30894299. The next prime is 30894319. The reversal of 30894304 is 40349803.

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 23 ways as a sum of consecutive naturals, for example, 506434 + ... + 506494.

It is an arithmetic number, because the mean of its divisors is an integer number (556605).

Almost surely, 230894304 is an apocalyptic number.

30894304 is a gapful number since it is divisible by the number (34) 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 30894304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40075560).

30894304 is an abundant number, since it is smaller than the sum of its proper divisors (49256816).

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

30894304 is a wasteful number, since it uses less digits than its factorization.

30894304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The square root of 30894304 is about 5558.2644773346. The cubic root of 30894304 is about 313.7806357285.

The spelling of 30894304 in words is "thirty million, eight hundred ninety-four thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 17 19 28 32 34 38 49 56 61 68 76 98 112 119 122 133 136 152 196 224 238 244 266 272 304 323 392 427 476 488 532 544 608 646 784 833 854 931 952 976 1037 1064 1159 1292 1568 1666 1708 1862 1904 1952 2074 2128 2261 2318 2584 2989 3332 3416 3724 3808 4148 4256 4522 4636 5168 5978 6664 6832 7259 7448 8113 8296 9044 9272 10336 11956 13328 13664 14518 14896 15827 16226 16592 18088 18544 19703 23912 26656 29036 29792 31654 32452 33184 36176 37088 39406 47824 50813 56791 58072 63308 64904 72352 78812 95648 101626 113582 116144 126616 129808 137921 157624 203252 227164 232288 253232 259616 275842 315248 406504 454328 506464 551684 630496 813008 908656 965447 1103368 1626016 1817312 1930894 2206736 3861788 4413472 7723576 15447152 30894304