Search a number
-
+
32997408 = 2531720219
BaseRepresentation
bin111110111100…
…0000000100000
32022002102221020
41331320000200
531421404113
63135125440
7550321233
oct175700040
968072836
1032997408
1117698494
12b073880
136ab43c2
14454d41a
152d6c023
hex1f78020

32997408 has 48 divisors (see below), whose sum is σ = 91717920. Its totient is φ = 10351616.

The previous prime is 32997379. The next prime is 32997427. The reversal of 32997408 is 80479923.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×329974083 (a number of 24 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 32997408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8478 + ... + 11741.

It is an arithmetic number, because the mean of its divisors is an integer number (1910790).

Almost surely, 232997408 is an apocalyptic number.

It is an amenable number.

32997408 is an abundant number, since it is smaller than the sum of its proper divisors (58720512).

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

32997408 is a wasteful number, since it uses less digits than its factorization.

32997408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20249 (or 20241 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 32997408 is about 5744.3370374657. The cubic root of 32997408 is about 320.7450348716.

The spelling of 32997408 in words is "thirty-two million, nine hundred ninety-seven thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 816 1632 20219 40438 60657 80876 121314 161752 242628 323504 343723 485256 647008 687446 970512 1031169 1374892 1941024 2062338 2749784 4124676 5499568 8249352 10999136 16498704 32997408