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2931144 = 233122131
BaseRepresentation
bin1011001011100111001000
312111220202220
423023213020
51222244034
6142454040
733625416
oct13134710
95456686
102931144
111722237
12b94320
137b8208
145642b6
153cd749
hex2cb9c8

2931144 has 16 divisors (see below), whose sum is σ = 7327920. Its totient is φ = 977040.

The previous prime is 2931127. The next prime is 2931151. The reversal of 2931144 is 4411392.

2931144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 122131 = 2931144 / (2 + 9 + 3 + 1 + 1 + 4 + 4).

It is a nialpdrome in base 12.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 61042 + ... + 61089.

It is an arithmetic number, because the mean of its divisors is an integer number (457995).

22931144 is an apocalyptic number.

2931144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2931144 is an abundant number, since it is smaller than the sum of its proper divisors (4396776).

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

2931144 is a wasteful number, since it uses less digits than its factorization.

2931144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122140 (or 122136 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

The square root of 2931144 is about 1712.0584102185. The cubic root of 2931144 is about 143.1129887647.

The spelling of 2931144 in words is "two million, nine hundred thirty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 122131 244262 366393 488524 732786 977048 1465572 2931144