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31314017 = 717223673
BaseRepresentation
bin111011101110…
…1000001100001
32011220220202102
41313131001201
531004022032
63035100145
7530110340
oct167350141
964826672
1031314017
1116748759
12a5a1655
136645107
144231b57
152b38362
hex1ddd061

31314017 has 24 divisors (see below), whose sum is σ = 39728256. Its totient is φ = 24127488.

The previous prime is 31314013. The next prime is 31314029. The reversal of 31314017 is 71041313.

31314017 = T918 + T919 + ... + T986.

It is a happy number.

It is not a de Polignac number, because 31314017 - 22 = 31314013 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 31314017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31314013) 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 23 ways as a sum of consecutive naturals, for example, 46193 + ... + 46865.

It is an arithmetic number, because the mean of its divisors is an integer number (1655344).

Almost surely, 231314017 is an apocalyptic number.

It is an amenable number.

31314017 is a deficient number, since it is larger than the sum of its proper divisors (8414239).

31314017 is a wasteful number, since it uses less digits than its factorization.

31314017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 737 (or 720 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 20.

The square root of 31314017 is about 5595.8928688816. The cubic root of 31314017 is about 315.1951994135.

The spelling of 31314017 in words is "thirty-one million, three hundred fourteen thousand, seventeen".

Divisors: 1 7 17 23 119 161 289 391 673 2023 2737 4711 6647 11441 15479 46529 80087 108353 194497 263143 1361479 1842001 4473431 31314017