Search a number
-
+
30640944 = 243837691
BaseRepresentation
bin111010011100…
…0101100110000
32010122201110210
41310320230300
530321002234
63012424120
7521305125
oct164705460
963581423
1030640944
1116328aa4
12a318040
13646a949
1440d874c
152a53be9
hex1d38b30

30640944 has 40 divisors (see below), whose sum is σ = 80119872. Its totient is φ = 10089280.

The previous prime is 30640933. The next prime is 30640949. The reversal of 30640944 is 44904603.

It is a super-2 number, since 2×306409442 = 1877734898422272, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (30640949) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 139 + ... + 7829.

Almost surely, 230640944 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 30640944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40059936).

30640944 is an abundant number, since it is smaller than the sum of its proper divisors (49478928).

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

30640944 is a wasteful number, since it uses less digits than its factorization.

30640944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7785 (or 7779 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 30640944 is about 5535.4262708485. The cubic root of 30640944 is about 312.9205227136.

The spelling of 30640944 in words is "thirty million, six hundred forty thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 83 166 249 332 498 664 996 1328 1992 3984 7691 15382 23073 30764 46146 61528 92292 123056 184584 369168 638353 1276706 1915059 2553412 3830118 5106824 7660236 10213648 15320472 30640944