Search a number
-
+
31368432 = 2435991091
BaseRepresentation
bin111011110101…
…0010011110000
32012000200101210
41313222103300
531012242212
63040200120
7530425104
oct167522360
965020353
1031368432
1116785627
12a609040
136663b04
144247904
152b4953c
hex1dea4f0

31368432 has 40 divisors (see below), whose sum is σ = 81244800. Its totient is φ = 10429120.

The previous prime is 31368431. The next prime is 31368433. The reversal of 31368432 is 23486313.

It is an interprime number because it is at equal distance from previous prime (31368431) and next prime (31368433).

It is a super-2 number, since 2×313684322 = 1967957052277248, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 31368432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31368431) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28207 + ... + 29297.

It is an arithmetic number, because the mean of its divisors is an integer number (2031120).

Almost surely, 231368432 is an apocalyptic number.

It is an amenable number.

31368432 is an abundant number, since it is smaller than the sum of its proper divisors (49876368).

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

31368432 is a wasteful number, since it uses less digits than its factorization.

31368432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1701 (or 1695 counting only the distinct ones).

The product of its digits is 10368, while the sum is 30.

The square root of 31368432 is about 5600.7528065431. The cubic root of 31368432 is about 315.3776674502.

The spelling of 31368432 in words is "thirty-one million, three hundred sixty-eight thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 599 1091 1198 1797 2182 2396 3273 3594 4364 4792 6546 7188 8728 9584 13092 14376 17456 26184 28752 52368 653509 1307018 1960527 2614036 3921054 5228072 7842108 10456144 15684216 31368432