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312707980 = 225131378779
BaseRepresentation
bin10010101000111…
…000101110001100
3210210102012201001
4102220320232030
51120023123410
651010230044
710514655034
oct2250705614
9723365631
10312707980
11150574152
1288885324
134ca2a110
142d7608c4
151c6be33a
hex12a38b8c

312707980 has 48 divisors (see below), whose sum is σ = 712444320. Its totient is φ = 114605568.

The previous prime is 312707959. The next prime is 312707981. The reversal of 312707980 is 89707213.

It is not an unprimeable number, because it can be changed into a prime (312707981) 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, 31231 + ... + 40009.

It is an arithmetic number, because the mean of its divisors is an integer number (14842590).

Almost surely, 2312707980 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312707980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356222160).

312707980 is an abundant number, since it is smaller than the sum of its proper divisors (399736340).

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

312707980 is a wasteful number, since it uses less digits than its factorization.

312707980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8938 (or 8936 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 37.

The square root of 312707980 is about 17683.5511139590. The cubic root of 312707980 is about 678.7549159836.

The spelling of 312707980 in words is "three hundred twelve million, seven hundred seven thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 137 260 274 548 685 1370 1781 2740 3562 7124 8779 8905 17558 17810 35116 35620 43895 87790 114127 175580 228254 456508 570635 1141270 1202723 2282540 2405446 4810892 6013615 12027230 15635399 24054460 31270798 62541596 78176995 156353990 312707980