Search a number
-
+
31880688 = 2437239397
BaseRepresentation
bin111100110011…
…1010111110000
32012222201002020
41321213113300
531130140223
63055151440
7534660420
oct171472760
965881066
1031880688
1116aa5484
12a815580
1367b3018
14433c480
152beb1e3
hex1e675f0

31880688 has 80 divisors (see below), whose sum is σ = 94755840. Its totient is φ = 9047808.

The previous prime is 31880671. The next prime is 31880731. The reversal of 31880688 is 88608813.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80106 + ... + 80502.

It is an arithmetic number, because the mean of its divisors is an integer number (1184448).

Almost surely, 231880688 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 31880688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47377920).

31880688 is an abundant number, since it is smaller than the sum of its proper divisors (62875152).

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

31880688 is a wasteful number, since it uses less digits than its factorization.

31880688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 42.

The square root of 31880688 is about 5646.2986105944. The cubic root of 31880688 is about 317.0851439962.

The spelling of 31880688 in words is "thirty-one million, eight hundred eighty thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 239 336 397 478 717 794 956 1191 1434 1588 1673 1912 2382 2779 2868 3176 3346 3824 4764 5019 5558 5736 6352 6692 8337 9528 10038 11116 11472 13384 16674 19056 20076 22232 26768 33348 40152 44464 66696 80304 94883 133392 189766 284649 379532 569298 664181 759064 1138596 1328362 1518128 1992543 2277192 2656724 3985086 4554384 5313448 7970172 10626896 15940344 31880688