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312463040 = 265976447
BaseRepresentation
bin10010100111111…
…100111011000000
3210202221202201012
4102213330323000
51114442304130
651001100052
710512614651
oct2247747300
9722852635
10312463040
1115041711a
1288787628
134c972796
142d6d9528
151c671995
hex129fcec0

312463040 has 28 divisors (see below), whose sum is σ = 744053376. Its totient is φ = 124985088.

The previous prime is 312463033. The next prime is 312463049. The reversal of 312463040 is 40364213.

It is a happy number.

It is a super-3 number, since 3×3124630403 (a number of 26 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 312462997 and 312463015.

It is not an unprimeable number, because it can be changed into a prime (312463049) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 487904 + ... + 488543.

Almost surely, 2312463040 is an apocalyptic number.

It is an amenable number.

312463040 is an abundant number, since it is smaller than the sum of its proper divisors (431590336).

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

312463040 is an equidigital number, since it uses as much as digits as its factorization.

312463040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 976464 (or 976454 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

The square root of 312463040 is about 17676.6241120866. The cubic root of 312463040 is about 678.5776497939.

The spelling of 312463040 in words is "three hundred twelve million, four hundred sixty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 976447 1952894 3905788 4882235 7811576 9764470 15623152 19528940 31246304 39057880 62492608 78115760 156231520 312463040