Search a number
-
+
30964968 = 23323731153
BaseRepresentation
bin111011000011…
…1110011101000
32011021011221200
41312013303220
530411334333
63023404200
7524124606
oct166076350
964234850
1030964968
111652a491
12a453660
136552288
144180876
152ab9c13
hex1d87ce8

30964968 has 48 divisors (see below), whose sum is σ = 84161220. Its totient is φ = 10285056.

The previous prime is 30964961. The next prime is 30964979. The reversal of 30964968 is 86946903.

It can be written as a sum of positive squares in 2 ways, for example, as 30008484 + 956484 = 5478^2 + 978^2 .

It is not an unprimeable number, because it can be changed into a prime (30964961) 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, 26280 + ... + 27432.

Almost surely, 230964968 is an apocalyptic number.

It is an amenable number.

30964968 is an abundant number, since it is smaller than the sum of its proper divisors (53196252).

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

30964968 is a wasteful number, since it uses less digits than its factorization.

30964968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1538 (or 1531 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 30964968 is about 5564.6175070709. The cubic root of 30964968 is about 314.0196885433.

The spelling of 30964968 in words is "thirty million, nine hundred sixty-four thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 373 746 1119 1153 1492 2238 2306 2984 3357 3459 4476 4612 6714 6918 8952 9224 10377 13428 13836 20754 26856 27672 41508 83016 430069 860138 1290207 1720276 2580414 3440552 3870621 5160828 7741242 10321656 15482484 30964968