Search a number
-
+
30961368 = 2332430019
BaseRepresentation
bin111011000011…
…0111011011000
32011021000000100
41312012323120
530411230433
63023335400
7524111244
oct166067330
964230010
1030961368
1116527809
12a451560
136550749
14417d424
152ab8b13
hex1d86ed8

30961368 has 24 divisors (see below), whose sum is σ = 83853900. Its totient is φ = 10320432.

The previous prime is 30961363. The next prime is 30961373. The reversal of 30961368 is 86316903.

It is a happy number.

30961368 is a `hidden beast` number, since 30 + 9 + 613 + 6 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (30961363) and next prime (30961373).

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30961363) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 214938 + ... + 215081.

Almost surely, 230961368 is an apocalyptic number.

It is an amenable number.

30961368 is an abundant number, since it is smaller than the sum of its proper divisors (52892532).

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

30961368 is a wasteful number, since it uses less digits than its factorization.

30961368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430031 (or 430024 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 30961368 is about 5564.2940253010. The cubic root of 30961368 is about 314.0075187186.

It can be divided in two parts, 30961 and 368, that added together give a square (31329 = 1772).

The spelling of 30961368 in words is "thirty million, nine hundred sixty-one thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 430019 860038 1290057 1720076 2580114 3440152 3870171 5160228 7740342 10320456 15480684 30961368