Search a number
-
+
31377924 = 22323723557
BaseRepresentation
bin111011110110…
…0101000000100
32012001011102100
41313230220010
531013043144
63040312100
7530464554
oct167545004
965034370
1031377924
1116791776
12a612630
136668226
14424b164
152b4c269
hex1deca04

31377924 has 36 divisors (see below), whose sum is σ = 81463564. Its totient is φ = 10176192.

The previous prime is 31377923. The next prime is 31377943. The reversal of 31377924 is 42977313.

It can be written as a sum of positive squares in 2 ways, for example, as 11289600 + 20088324 = 3360^2 + 4482^2 .

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

It is a super-2 number, since 2×313779242 = 1969148229099552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (31377923) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10447 + ... + 13110.

Almost surely, 231377924 is an apocalyptic number.

It is an amenable number.

31377924 is an abundant number, since it is smaller than the sum of its proper divisors (50085640).

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

31377924 is a wasteful number, since it uses less digits than its factorization.

31377924 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23604 (or 23599 counting only the distinct ones).

The product of its digits is 31752, while the sum is 36.

The square root of 31377924 is about 5601.6001285347. The cubic root of 31377924 is about 315.4094750428.

The spelling of 31377924 in words is "thirty-one million, three hundred seventy-seven thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 23557 47114 70671 94228 141342 212013 282684 424026 848052 871609 1743218 2614827 3486436 5229654 7844481 10459308 15688962 31377924