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312492780 = 223251736071
BaseRepresentation
bin10010101000000…
…100001011101100
3210210000021111200
4102220010023230
51114444232110
651001445500
710513100445
oct2250041354
9723007450
10312492780
111504374a6
12887a0890
134c983192
142d7062cc
151c67a6c0
hex12a042ec

312492780 has 36 divisors (see below), whose sum is σ = 947895312. Its totient is φ = 83331360.

The previous prime is 312492773. The next prime is 312492781. The reversal of 312492780 is 87294213.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (312492781) 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 11 ways as a sum of consecutive naturals, for example, 867856 + ... + 868215.

Almost surely, 2312492780 is an apocalyptic number.

312492780 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312492780 is an abundant number, since it is smaller than the sum of its proper divisors (635402532).

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

312492780 is a wasteful number, since it uses less digits than its factorization.

312492780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1736086 (or 1736081 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 312492780 is about 17677.4653160457. The cubic root of 312492780 is about 678.5991779498.

The spelling of 312492780 in words is "three hundred twelve million, four hundred ninety-two thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1736071 3472142 5208213 6944284 8680355 10416426 15624639 17360710 20832852 26041065 31249278 34721420 52082130 62498556 78123195 104164260 156246390 312492780