Search a number
-
+
30165432 = 23311163701
BaseRepresentation
bin111001100010…
…0100110111000
32002202120012020
41303010212320
530210243212
62554314440
7514254603
oct163044670
962676166
1030165432
1116033810
12a128a20
13633238b
14401333a
1529acd8c
hex1cc49b8

30165432 has 64 divisors (see below), whose sum is σ = 82892160. Its totient is φ = 9072000.

The previous prime is 30165389. The next prime is 30165451. The reversal of 30165432 is 23456103.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42682 + ... + 43382.

It is an arithmetic number, because the mean of its divisors is an integer number (1295190).

Almost surely, 230165432 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 30165432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41446080).

30165432 is an abundant number, since it is smaller than the sum of its proper divisors (52726728).

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

30165432 is a wasteful number, since it uses less digits than its factorization.

30165432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 884 (or 880 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 30165432 is about 5492.3066192630. The cubic root of 30165432 is about 311.2933547130.

It can be divided in two parts, 3016 and 5432, that added together give a palindrome (8448).

The spelling of 30165432 in words is "thirty million, one hundred sixty-five thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 163 264 326 489 652 701 978 1304 1402 1793 1956 2103 2804 3586 3912 4206 5379 5608 7172 7711 8412 10758 14344 15422 16824 21516 23133 30844 43032 46266 61688 92532 114263 185064 228526 342789 457052 685578 914104 1256893 1371156 2513786 2742312 3770679 5027572 7541358 10055144 15082716 30165432