Search a number
-
+
31318352 = 2413172521
BaseRepresentation
bin111011101111…
…0000101010000
32011221010200222
41313132011100
531004141402
63035132212
7530126102
oct167360520
964833628
1031318352
1116750a3a
12a5a4068
136647090
144233572
152b397a2
hex1dde150

31318352 has 60 divisors (see below), whose sum is σ = 69550236. Its totient is φ = 13578240.

The previous prime is 31318349. The next prime is 31318361. The reversal of 31318352 is 25381313.

It can be written as a sum of positive squares in 6 ways, for example, as 3136 + 31315216 = 56^2 + 5596^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 59852 + ... + 60372.

Almost surely, 231318352 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 31318352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34775118).

31318352 is an abundant number, since it is smaller than the sum of its proper divisors (38231884).

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

31318352 is a wasteful number, since it uses less digits than its factorization.

31318352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 553 counting only the distinct ones).

The product of its digits is 2160, while the sum is 26.

The square root of 31318352 is about 5596.2801931283. The cubic root of 31318352 is about 315.2097435726.

Adding to 31318352 its reverse (25381313), we get a palindrome (56699665).

The spelling of 31318352 in words is "thirty-one million, three hundred eighteen thousand, three hundred fifty-two".

Divisors: 1 2 4 8 13 16 17 26 34 52 68 104 136 208 221 272 289 442 521 578 884 1042 1156 1768 2084 2312 3536 3757 4168 4624 6773 7514 8336 8857 13546 15028 17714 27092 30056 35428 54184 60112 70856 108368 115141 141712 150569 230282 301138 460564 602276 921128 1204552 1842256 1957397 2409104 3914794 7829588 15659176 31318352