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31297104 = 2434193141
BaseRepresentation
bin111011101100…
…0111001010000
32011220001120000
41313120321100
531003001404
63034450000
7530010126
oct167307120
964801500
1031297104
1116736a83
12a593900
13663a4c7
144229916
152b33339
hex1dd8e50

31297104 has 200 divisors, whose sum is σ = 100826880. Its totient is φ = 9331200.

The previous prime is 31297103. The next prime is 31297111. The reversal of 31297104 is 40179213.

It is a super-3 number, since 3×312971043 (a number of 23 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31297103) 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 39 ways as a sum of consecutive naturals, for example, 763324 + ... + 763364.

Almost surely, 231297104 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 31297104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50413440).

31297104 is an abundant number, since it is smaller than the sum of its proper divisors (69529776).

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

31297104 is a wasteful number, since it uses less digits than its factorization.

31297104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 31297104 is about 5594.3814671508. The cubic root of 31297104 is about 315.1384425469.

The spelling of 31297104 in words is "thirty-one million, two hundred ninety-seven thousand, one hundred four".