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31343100 = 22352191547
BaseRepresentation
bin111011110010…
…0000111111100
32011222101122120
41313210013330
531010434400
63035442540
7530261205
oct167440774
964871576
1031343100
1116768598
12a5b6450
136655419
14423c5ac
152b41ca0
hex1de41fc

31343100 has 72 divisors (see below), whose sum is σ = 91327488. Its totient is φ = 8299200.

The previous prime is 31343083. The next prime is 31343119. The reversal of 31343100 is 134313.

It is a super-2 number, since 2×313431002 = 1964779835220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 31343100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57027 + ... + 57573.

Almost surely, 231343100 is an apocalyptic number.

31343100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31343100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45663744).

31343100 is an abundant number, since it is smaller than the sum of its proper divisors (59984388).

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

31343100 is a wasteful number, since it uses less digits than its factorization.

31343100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 755 (or 748 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 31343100 is about 5598.4908680822. The cubic root of 31343100 is about 315.2927487585.

Adding to 31343100 its reverse (134313), we get a palindrome (31477413).

The spelling of 31343100 in words is "thirty-one million, three hundred forty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 191 300 382 547 573 764 955 1094 1146 1641 1910 2188 2292 2735 2865 3282 3820 4775 5470 5730 6564 8205 9550 10940 11460 13675 14325 16410 19100 27350 28650 32820 41025 54700 57300 82050 104477 164100 208954 313431 417908 522385 626862 1044770 1253724 1567155 2089540 2611925 3134310 5223850 6268620 7835775 10447700 15671550 31343100