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2972328 = 233271457
BaseRepresentation
bin1011010101101010101000
312121000021020
423111222220
51230103303
6143412440
734156452
oct13255250
95530236
102972328
111750177
12bb4120
13800b98
145752d2
153daa53
hex2d5aa8

2972328 has 32 divisors (see below), whose sum is σ = 7474560. Its totient is φ = 984960.

The previous prime is 2972323. The next prime is 2972351. The reversal of 2972328 is 8232792.

2972328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2972323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6276 + ... + 6732.

It is an arithmetic number, because the mean of its divisors is an integer number (233580).

22972328 is an apocalyptic number.

It is an amenable number.

2972328 is an abundant number, since it is smaller than the sum of its proper divisors (4502232).

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

2972328 is a wasteful number, since it uses less digits than its factorization.

2972328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 737 (or 733 counting only the distinct ones).

The product of its digits is 12096, while the sum is 33.

The square root of 2972328 is about 1724.0440829631. The cubic root of 2972328 is about 143.7801428913.

The spelling of 2972328 in words is "two million, nine hundred seventy-two thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 24 271 457 542 813 914 1084 1371 1626 1828 2168 2742 3252 3656 5484 6504 10968 123847 247694 371541 495388 743082 990776 1486164 2972328