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31343104 = 291317277
BaseRepresentation
bin111011110010…
…0001000000000
32011222101122201
41313210020000
531010434404
63035442544
7530261212
oct167441000
964871581
1031343104
11167685a1
12a5b6454
136655420
14423c5b2
152b41ca4
hex1de4200

31343104 has 80 divisors (see below), whose sum is σ = 71667288. Its totient is φ = 13565952.

The previous prime is 31343083. The next prime is 31343119. The reversal of 31343104 is 40134313.

It can be written as a sum of positive squares in 4 ways, for example, as 20793600 + 10549504 = 4560^2 + 3248^2 .

It is a nialpdrome in base 13.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 113014 + ... + 113290.

Almost surely, 231343104 is an apocalyptic number.

31343104 is a gapful number since it is divisible by the number (34) 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 31343104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35833644).

31343104 is an abundant number, since it is smaller than the sum of its proper divisors (40324184).

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

31343104 is a wasteful number, since it uses less digits than its factorization.

31343104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 31343104 is about 5598.4912253213. The cubic root of 31343104 is about 315.2927621710.

Adding to 31343104 its reverse (40134313), we get a palindrome (71477417).

The spelling of 31343104 in words is "thirty-one million, three hundred forty-three thousand, one hundred four".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 64 68 104 128 136 208 221 256 272 277 416 442 512 544 554 832 884 1088 1108 1664 1768 2176 2216 3328 3536 3601 4352 4432 4709 6656 7072 7202 8704 8864 9418 14144 14404 17728 18836 28288 28808 35456 37672 56576 57616 61217 70912 75344 113152 115232 122434 141824 150688 230464 244868 301376 460928 489736 602752 921856 979472 1205504 1843712 1958944 2411008 3917888 7835776 15671552 31343104