Search a number
-
+
31296432 = 2434359257
BaseRepresentation
bin111011101100…
…0101110110000
32011220000122010
41313120232300
531002441212
63034442520
7530005146
oct167305660
964800563
1031296432
1116736522
12a593440
13663a0cb
144229596
152b3303c
hex1dd8bb0

31296432 has 80 divisors (see below), whose sum is σ = 84458880. Its totient is φ = 9977856.

The previous prime is 31296431. The next prime is 31296443. The reversal of 31296432 is 23469213.

It is a self number, because there is not a number n which added to its sum of digits gives 31296432.

It is not an unprimeable number, because it can be changed into a prime (31296431) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121648 + ... + 121904.

It is an arithmetic number, because the mean of its divisors is an integer number (1055736).

Almost surely, 231296432 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 31296432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42229440).

31296432 is an abundant number, since it is smaller than the sum of its proper divisors (53162448).

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

31296432 is a wasteful number, since it uses less digits than its factorization.

31296432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 364 counting only the distinct ones).

The product of its digits is 7776, while the sum is 30.

The square root of 31296432 is about 5594.3214065693. The cubic root of 31296432 is about 315.1361870182.

The spelling of 31296432 in words is "thirty-one million, two hundred ninety-six thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 43 48 59 86 118 129 172 177 236 257 258 344 354 472 514 516 688 708 771 944 1028 1032 1416 1542 2056 2064 2537 2832 3084 4112 5074 6168 7611 10148 11051 12336 15163 15222 20296 22102 30326 30444 33153 40592 44204 45489 60652 60888 66306 88408 90978 121304 121776 132612 176816 181956 242608 265224 363912 530448 652009 727824 1304018 1956027 2608036 3912054 5216072 7824108 10432144 15648216 31296432