Search a number
-
+
30640544 = 2511611427
BaseRepresentation
bin111010011100…
…0100110100000
32010122200220222
41310320212200
530320444134
63012422212
7521304014
oct164704640
963580828
1030640544
1116328770
12a317968
13646a6cc
1440d8544
152a53a2e
hex1d389a0

30640544 has 48 divisors (see below), whose sum is σ = 66933216. Its totient is φ = 13689600.

The previous prime is 30640537. The next prime is 30640567. The reversal of 30640544 is 44504603.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20759 + ... + 22185.

It is an arithmetic number, because the mean of its divisors is an integer number (1394442).

Almost surely, 230640544 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 30640544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33466608).

30640544 is an abundant number, since it is smaller than the sum of its proper divisors (36292672).

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

30640544 is a wasteful number, since it uses less digits than its factorization.

30640544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1509 (or 1501 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

The square root of 30640544 is about 5535.3901398185. The cubic root of 30640544 is about 312.9191610415.

The spelling of 30640544 in words is "thirty million, six hundred forty thousand, five hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 61 88 122 176 244 352 488 671 976 1342 1427 1952 2684 2854 5368 5708 10736 11416 15697 21472 22832 31394 45664 62788 87047 125576 174094 251152 348188 502304 696376 957517 1392752 1915034 2785504 3830068 7660136 15320272 30640544