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2972304 = 243220641
BaseRepresentation
bin1011010101101010010000
312121000020100
423111222100
51230103204
6143412400
734156416
oct13255220
95530210
102972304
111750155
12bb4100
13800b7a
145752b6
153daa39
hex2d5a90

2972304 has 30 divisors (see below), whose sum is σ = 8318726. Its totient is φ = 990720.

The previous prime is 2972287. The next prime is 2972309. The reversal of 2972304 is 4032792.

It can be written as a sum of positive squares in only one way, i.e., 2073600 + 898704 = 1440^2 + 948^2 .

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (2972309) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10177 + ... + 10464.

22972304 is an apocalyptic number.

2972304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2972304 is an abundant number, since it is smaller than the sum of its proper divisors (5346422).

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

2972304 is a wasteful number, since it uses less digits than its factorization.

2972304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20655 (or 20646 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 2972304 is about 1724.0371225702. The cubic root of 2972304 is about 143.7797559070.

It can be divided in two parts, 297 and 2304, that added together give a square (2601 = 512).

The spelling of 2972304 in words is "two million, nine hundred seventy-two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 20641 41282 61923 82564 123846 165128 185769 247692 330256 371538 495384 743076 990768 1486152 2972304