Search a number
-
+
31074336 = 2532107897
BaseRepresentation
bin111011010001…
…0100000100000
32011110201222100
41312202200200
530423334321
63030010400
7525061506
oct166424040
964421870
1031074336
11165a4677
12a4a6a00
13658cca7
1441ac676
152adc326
hex1da2820

31074336 has 36 divisors (see below), whose sum is σ = 88368462. Its totient is φ = 10358016.

The previous prime is 31074331. The next prime is 31074343. The reversal of 31074336 is 63347013.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 27248400 + 3825936 = 5220^2 + 1956^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×310743362 = 1931228715681792, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (31074331) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 53661 + ... + 54236.

Almost surely, 231074336 is an apocalyptic number.

31074336 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

31074336 is an abundant number, since it is smaller than the sum of its proper divisors (57294126).

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

31074336 is a wasteful number, since it uses less digits than its factorization.

31074336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107913 (or 107902 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 27.

The square root of 31074336 is about 5574.4359355903. The cubic root of 31074336 is about 314.3889590746.

The spelling of 31074336 in words is "thirty-one million, seventy-four thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 107897 215794 323691 431588 647382 863176 971073 1294764 1726352 1942146 2589528 3452704 3884292 5179056 7768584 10358112 15537168 31074336