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30998304 = 2532372909
BaseRepresentation
bin111011000111…
…1111100100000
32011022212200100
41312033330200
530413421204
63024222400
7524324031
oct166177440
964285610
1030998304
1116552537
12a46aa00
1365644bc
14418ca88
152ac4a39
hex1d8ff20

30998304 has 72 divisors (see below), whose sum is σ = 90565020. Its totient is φ = 10050048.

The previous prime is 30998281. The next prime is 30998311. The reversal of 30998304 is 40389903.

It can be written as a sum of positive squares in 2 ways, for example, as 25522704 + 5475600 = 5052^2 + 2340^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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, 9202 + ... + 12110.

Almost surely, 230998304 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 30998304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45282510).

30998304 is an abundant number, since it is smaller than the sum of its proper divisors (59566716).

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

30998304 is a wasteful number, since it uses less digits than its factorization.

30998304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2962 (or 2951 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 30998304 is about 5567.6120554507. The cubic root of 30998304 is about 314.1323363373.

The spelling of 30998304 in words is "thirty million, nine hundred ninety-eight thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 72 74 96 111 144 148 222 288 296 333 444 592 666 888 1184 1332 1776 2664 2909 3552 5328 5818 8727 10656 11636 17454 23272 26181 34908 46544 52362 69816 93088 104724 107633 139632 209448 215266 279264 322899 418896 430532 645798 837792 861064 968697 1291596 1722128 1937394 2583192 3444256 3874788 5166384 7749576 10332768 15499152 30998304