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312603940 = 225117012027
BaseRepresentation
bin10010101000011…
…111010100100100
3210210012220222201
4102220133110210
51120011311230
651004104244
710514042515
oct2250372444
9723186881
10312603940
11150502a70
1288835084
134c9c195c
142d734a0c
151c69d5ca
hex12a1f524

312603940 has 48 divisors (see below), whose sum is σ = 717522624. Its totient is φ = 113456000.

The previous prime is 312603931. The next prime is 312603943. The reversal of 312603940 is 49306213.

312603940 = 23572 + 23582 + ... + 24112.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 312603899 and 312603908.

It is not an unprimeable number, because it can be changed into a prime (312603943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 153207 + ... + 155233.

It is an arithmetic number, because the mean of its divisors is an integer number (14948388).

Almost surely, 2312603940 is an apocalyptic number.

It is an amenable number.

312603940 is an abundant number, since it is smaller than the sum of its proper divisors (404918684).

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

312603940 is a wasteful number, since it uses less digits than its factorization.

312603940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2748 (or 2746 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 28.

The square root of 312603940 is about 17680.6091524020. The cubic root of 312603940 is about 678.6796322267.

The spelling of 312603940 in words is "three hundred twelve million, six hundred three thousand, nine hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 701 1402 2027 2804 3505 4054 7010 7711 8108 10135 14020 15422 20270 22297 30844 38555 40540 44594 77110 89188 111485 154220 222970 445940 1420927 2841854 5683708 7104635 14209270 15630197 28418540 31260394 62520788 78150985 156301970 312603940