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31341312 = 283261223
BaseRepresentation
bin111011110001…
…1101100000000
32011222022012100
41313203230000
531010410222
63035430400
7530253042
oct167435400
964868170
1031341312
1116767212
12a5b5400
136654672
14423ba92
152b414ac
hex1de3b00

31341312 has 108 divisors (see below), whose sum is σ = 92257984. Its totient is φ = 10229760.

The previous prime is 31341301. The next prime is 31341361. The reversal of 31341312 is 21314313.

31341312 is a `hidden beast` number, since 313 + 41 + 312 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 140433 + ... + 140655.

Almost surely, 231341312 is an apocalyptic number.

31341312 is a gapful number since it is divisible by the number (32) 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 31341312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46128992).

31341312 is an abundant number, since it is smaller than the sum of its proper divisors (60916672).

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

31341312 is a wasteful number, since it uses less digits than its factorization.

31341312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 289 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 31341312 is about 5598.3311799142. The cubic root of 31341312 is about 315.2867532427.

Adding to 31341312 its reverse (21314313), we get a palindrome (52655625).

The spelling of 31341312 in words is "thirty-one million, three hundred forty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 61 64 72 96 122 128 144 183 192 223 244 256 288 366 384 446 488 549 576 669 732 768 892 976 1098 1152 1338 1464 1784 1952 2007 2196 2304 2676 2928 3568 3904 4014 4392 5352 5856 7136 7808 8028 8784 10704 11712 13603 14272 15616 16056 17568 21408 23424 27206 28544 32112 35136 40809 42816 46848 54412 57088 64224 70272 81618 85632 108824 122427 128448 140544 163236 171264 217648 244854 256896 326472 435296 489708 513792 652944 870592 979416 1305888 1741184 1958832 2611776 3482368 3917664 5223552 7835328 10447104 15670656 31341312