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312448680 = 23325867913
BaseRepresentation
bin10010100111111…
…001011010101000
3210202221001000100
4102213321122220
51114441324210
651000505400
710512525045
oct2247713250
9722831010
10312448680
11150407355
128877b260
134c96909b
142d6d41cc
151c66c5c0
hex129f96a8

312448680 has 48 divisors (see below), whose sum is σ = 1015459380. Its totient is φ = 83319552.

The previous prime is 312448663. The next prime is 312448681. The reversal of 312448680 is 86844213.

It can be written as a sum of positive squares in 2 ways, for example, as 305061156 + 7387524 = 17466^2 + 2718^2 .

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 (312448681) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 433597 + ... + 434316.

Almost surely, 2312448680 is an apocalyptic number.

312448680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312448680 is an abundant number, since it is smaller than the sum of its proper divisors (703010700).

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

312448680 is a wasteful number, since it uses less digits than its factorization.

312448680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 867930 (or 867923 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 312448680 is about 17676.2179212636. The cubic root of 312448680 is about 678.5672544051.

The spelling of 312448680 in words is "three hundred twelve million, four hundred forty-eight thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 867913 1735826 2603739 3471652 4339565 5207478 6943304 7811217 8679130 10414956 13018695 15622434 17358260 20829912 26037390 31244868 34716520 39056085 52074780 62489736 78112170 104149560 156224340 312448680