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30246912 = 21133547
BaseRepresentation
bin111001101100…
…0100000000000
32002220200222000
41303120200000
530220400122
63000144000
7515044263
oct163304000
962820860
1030246912
1116089a53
12a168000
1363604a7
144034cda
1529c70ac
hex1cd8800

30246912 has 96 divisors (see below), whose sum is σ = 89762400. Its totient is φ = 10063872.

The previous prime is 30246907. The next prime is 30246929. The reversal of 30246912 is 21964203.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55023 + ... + 55569.

It is an arithmetic number, because the mean of its divisors is an integer number (935025).

Almost surely, 230246912 is an apocalyptic number.

30246912 is a gapful number since it is divisible by the number (32) 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 30246912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44881200).

30246912 is an abundant number, since it is smaller than the sum of its proper divisors (59515488).

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

30246912 is an equidigital number, since it uses as much as digits as its factorization.

30246912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 30246912 is about 5499.7192655626. The cubic root of 30246912 is about 311.5733814186.

The spelling of 30246912 in words is "thirty million, two hundred forty-six thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 547 576 768 864 1024 1094 1152 1536 1641 1728 2048 2188 2304 3072 3282 3456 4376 4608 4923 6144 6564 6912 8752 9216 9846 13128 13824 14769 17504 18432 19692 26256 27648 29538 35008 39384 52512 55296 59076 70016 78768 105024 118152 140032 157536 210048 236304 280064 315072 420096 472608 560128 630144 840192 945216 1120256 1260288 1680384 1890432 2520576 3360768 3780864 5041152 7561728 10082304 15123456 30246912