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31310388 = 2234412357
BaseRepresentation
bin111011101110…
…0001000110100
32011220201210000
41313130020310
531003413023
63035031300
7530063634
oct167341064
964821700
1031310388
1116745a5a
12a59b530
136643575
1442306c4
152b37243
hex1ddc234

31310388 has 60 divisors (see below), whose sum is σ = 83883492. Its totient is φ = 10177920.

The previous prime is 31310387. The next prime is 31310393. The reversal of 31310388 is 88301313.

It can be written as a sum of positive squares in 2 ways, for example, as 3305124 + 28005264 = 1818^2 + 5292^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 (31310387) 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 19 ways as a sum of consecutive naturals, for example, 12106 + ... + 14462.

Almost surely, 231310388 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 31310388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41941746).

31310388 is an abundant number, since it is smaller than the sum of its proper divisors (52573104).

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

31310388 is a wasteful number, since it uses less digits than its factorization.

31310388 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2414 (or 2403 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 31310388 is about 5595.5686038150. The cubic root of 31310388 is about 315.1830228902.

It can be divided in two parts, 313 and 10388, that added together give a palindrome (10701).

The spelling of 31310388 in words is "thirty-one million, three hundred ten thousand, three hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 81 82 108 123 162 164 246 324 369 492 738 1107 1476 2214 2357 3321 4428 4714 6642 7071 9428 13284 14142 21213 28284 42426 63639 84852 96637 127278 190917 193274 254556 289911 381834 386548 579822 763668 869733 1159644 1739466 2609199 3478932 5218398 7827597 10436796 15655194 31310388