Search a number
-
+
30833968 = 2411414273
BaseRepresentation
bin111010110011…
…1110100110000
32011000112020211
41311213310300
530343141333
63020513504
7523040644
oct165476460
964015224
1030833968
1116450020
12a3ab894
136507769
144148c24
152a90ecd
hex1d67d30

30833968 has 40 divisors (see below), whose sum is σ = 66776976. Its totient is φ = 13670400.

The previous prime is 30833947. The next prime is 30833981. The reversal of 30833968 is 86933803.

It is a self number, because there is not a number n which added to its sum of digits gives 30833968.

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, 5080 + ... + 9352.

Almost surely, 230833968 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 30833968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33388488).

30833968 is an abundant number, since it is smaller than the sum of its proper divisors (35943008).

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

30833968 is a wasteful number, since it uses less digits than its factorization.

30833968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4333 (or 4327 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 40.

The square root of 30833968 is about 5552.8342312733. The cubic root of 30833968 is about 313.5762333613.

The spelling of 30833968 in words is "thirty million, eight hundred thirty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 41 44 82 88 164 176 328 451 656 902 1804 3608 4273 7216 8546 17092 34184 47003 68368 94006 175193 188012 350386 376024 700772 752048 1401544 1927123 2803088 3854246 7708492 15416984 30833968