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312920927 = 11711013967
BaseRepresentation
bin10010101001101…
…100101101011111
3210210211000210222
4102221230231133
51120101432202
651014551555
710516532624
oct2251545537
9723730728
10312920927
111506aa140
12889685bb
134caa3017
142d7b834b
151c7124a2
hex12a6cb5f

312920927 has 16 divisors (see below), whose sum is σ = 349691904. Its totient is φ = 277620000.

The previous prime is 312920891. The next prime is 312920941. The reversal of 312920927 is 729029213.

It is a cyclic number.

It is not a de Polignac number, because 312920927 - 26 = 312920863 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312920977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76898 + ... + 80864.

It is an arithmetic number, because the mean of its divisors is an integer number (21855744).

Almost surely, 2312920927 is an apocalyptic number.

312920927 is a deficient number, since it is larger than the sum of its proper divisors (36770977).

312920927 is a wasteful number, since it uses less digits than its factorization.

312920927 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4150.

The product of its (nonzero) digits is 13608, while the sum is 35.

The square root of 312920927 is about 17689.5711366895. The cubic root of 312920927 is about 678.9089532276.

The spelling of 312920927 in words is "three hundred twelve million, nine hundred twenty thousand, nine hundred twenty-seven".

Divisors: 1 11 71 101 781 1111 3967 7171 43637 78881 281657 400667 3098227 4407337 28447357 312920927