Search a number
-
+
30379132 = 2273121129
BaseRepresentation
bin111001111100…
…0110001111100
32010011102100001
41303320301330
530234113012
63003044044
7516134620
oct163706174
963142301
1030379132
111616a323
12a210624
1363a8724
14406b180
152a01357
hex1cf8c7c

30379132 has 36 divisors (see below), whose sum is σ = 62837040. Its totient is φ = 12588480.

The previous prime is 30379121. The next prime is 30379133. The reversal of 30379132 is 23197303.

It is a super-2 number, since 2×303791322 = 1845783322146848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 30379132.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30379133) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26344 + ... + 27472.

Almost surely, 230379132 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 30379132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31418520).

30379132 is an abundant number, since it is smaller than the sum of its proper divisors (32457908).

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

30379132 is a wasteful number, since it uses less digits than its factorization.

30379132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1202 (or 1169 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 28.

The square root of 30379132 is about 5511.7267711671. The cubic root of 30379132 is about 312.0267208103.

The spelling of 30379132 in words is "thirty million, three hundred seventy-nine thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 28 31 62 124 217 434 868 961 1129 1922 2258 3844 4516 6727 7903 13454 15806 26908 31612 34999 69998 139996 244993 489986 979972 1084969 2169938 4339876 7594783 15189566 30379132