Search a number
-
+
30983168 = 21079383
BaseRepresentation
bin111011000110…
…0010000000000
32011022002220202
41312030100000
530412430133
63024024332
7524231636
oct166142000
964262822
1030983168
1116542127
12a4620a8
13655a648
144187356
152ac02e8
hex1d8c400

30983168 has 44 divisors (see below), whose sum is σ = 62883840. Its totient is φ = 15255552.

The previous prime is 30983143. The next prime is 30983207. The reversal of 30983168 is 86138903.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 80705 + ... + 81087.

Almost surely, 230983168 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 30983168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31441920).

30983168 is an abundant number, since it is smaller than the sum of its proper divisors (31900672).

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

30983168 is an equidigital number, since it uses as much as digits as its factorization.

30983168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 38.

The square root of 30983168 is about 5566.2525993706. The cubic root of 30983168 is about 314.0811993338.

It can be divided in two parts, 30 and 983168, that multiplied together give a triangular number (29495040 = T7680).

The spelling of 30983168 in words is "thirty million, nine hundred eighty-three thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 16 32 64 79 128 158 256 316 383 512 632 766 1024 1264 1532 2528 3064 5056 6128 10112 12256 20224 24512 30257 40448 49024 60514 80896 98048 121028 196096 242056 392192 484112 968224 1936448 3872896 7745792 15491584 30983168