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31284097 = 1321710889
BaseRepresentation
bin111011101010…
…1101110000001
32011212101201021
41313111232001
531002042342
63034305441
7526624165
oct167255601
964771637
1031284097
1116728229
12a588281
136634600
144224ca5
152b2e567
hex1dd5b81

31284097 has 12 divisors (see below), whose sum is σ = 35871660. Its totient is φ = 27176448.

The previous prime is 31284073. The next prime is 31284119. The reversal of 31284097 is 79048213.

It can be written as a sum of positive squares in 6 ways, for example, as 8473921 + 22810176 = 2911^2 + 4776^2 .

It is a de Polignac number, because none of the positive numbers 2k-31284097 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (31284017) 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, 2572 + ... + 8317.

It is an arithmetic number, because the mean of its divisors is an integer number (2989305).

Almost surely, 231284097 is an apocalyptic number.

It is an amenable number.

31284097 is a deficient number, since it is larger than the sum of its proper divisors (4587563).

31284097 is a wasteful number, since it uses less digits than its factorization.

31284097 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10932 (or 10919 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 31284097 is about 5593.2188407034. The cubic root of 31284097 is about 315.0947795752.

It can be divided in two parts, 3128 and 4097, that added together give a square (7225 = 852).

The spelling of 31284097 in words is "thirty-one million, two hundred eighty-four thousand, ninety-seven".

Divisors: 1 13 17 169 221 2873 10889 141557 185113 1840241 2406469 31284097