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30294272 = 28176961
BaseRepresentation
bin111001110010…
…0000100000000
32010000002221002
41303210010000
530223404042
63001151132
7515332331
oct163440400
963002832
1030294272
1116111598
12a18b4a8
136378c08
144048288
1529d6132
hex1ce4100

30294272 has 36 divisors (see below), whose sum is σ = 64036476. Its totient is φ = 14254080.

The previous prime is 30294269. The next prime is 30294287. The reversal of 30294272 is 27249203.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 23658496 + 6635776 = 4864^2 + 2576^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 872 + ... + 7832.

It is an arithmetic number, because the mean of its divisors is an integer number (1778791).

Almost surely, 230294272 is an apocalyptic number.

30294272 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 30294272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32018238).

30294272 is an abundant number, since it is smaller than the sum of its proper divisors (33742204).

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

30294272 is an equidigital number, since it uses as much as digits as its factorization.

30294272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6994 (or 6980 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 29.

The square root of 30294272 is about 5504.0232557648. The cubic root of 30294272 is about 311.7359150400.

The spelling of 30294272 in words is "thirty million, two hundred ninety-four thousand, two hundred seventy-two".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 544 1088 2176 4352 6961 13922 27844 55688 111376 118337 222752 236674 445504 473348 891008 946696 1782016 1893392 3786784 7573568 15147136 30294272