Search a number
-
+
31451364 = 22327137911
BaseRepresentation
bin111011111111…
…0100011100100
32012011220011100
41313332203210
531022420424
63042040100
7531221640
oct167764344
965156140
1031451364
111683196a
12a649030
136692799
144269c20
152b63dc9
hex1dfe8e4

31451364 has 72 divisors (see below), whose sum is σ = 91623168. Its totient is φ = 8910720.

The previous prime is 31451347. The next prime is 31451383. The reversal of 31451364 is 46315413.

It is a super-3 number, since 3×314513643 (a number of 23 digits) contains 333 as substring.

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, 34069 + ... + 34979.

It is an arithmetic number, because the mean of its divisors is an integer number (1272544).

Almost surely, 231451364 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 31451364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45811584).

31451364 is an abundant number, since it is smaller than the sum of its proper divisors (60171804).

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

31451364 is a wasteful number, since it uses less digits than its factorization.

31451364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1065 (or 1060 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 31451364 is about 5608.1515671387. The cubic root of 31451364 is about 315.6553551696.

Adding to 31451364 its reverse (46315413), we get a palindrome (77766777).

The spelling of 31451364 in words is "thirty-one million, four hundred fifty-one thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 137 252 274 411 548 822 911 959 1233 1644 1822 1918 2466 2733 2877 3644 3836 4932 5466 5754 6377 8199 8631 10932 11508 12754 16398 17262 19131 25508 32796 34524 38262 57393 76524 114786 124807 229572 249614 374421 499228 748842 873649 1123263 1497684 1747298 2246526 2620947 3494596 4493052 5241894 7862841 10483788 15725682 31451364