Search a number
-
+
332450144 = 25131942061
BaseRepresentation
bin10011110100001…
…100100101100000
3212011120012212022
4103310030211200
51140101401034
652553321012
711144531255
oct2364144540
9764505768
10332450144
11160728794
1293406168
1353b50080
143221d42c
151e2bdb2e
hex13d0c960

332450144 has 48 divisors (see below), whose sum is σ = 741973680. Its totient is φ = 145359360.

The previous prime is 332450117. The next prime is 332450161. The reversal of 332450144 is 441054233.

It is a super-2 number, since 2×3324501442 = 221046196491241472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13127 + ... + 28934.

It is an arithmetic number, because the mean of its divisors is an integer number (15457785).

Almost surely, 2332450144 is an apocalyptic number.

It is an amenable number.

332450144 is an abundant number, since it is smaller than the sum of its proper divisors (409523536).

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

332450144 is a wasteful number, since it uses less digits than its factorization.

332450144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42103 (or 42095 counting only the distinct ones).

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

The square root of 332450144 is about 18233.2154048593. The cubic root of 332450144 is about 692.7483634335.

The spelling of 332450144 in words is "three hundred thirty-two million, four hundred fifty thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 19 26 32 38 52 76 104 152 208 247 304 416 494 608 988 1976 3952 7904 42061 84122 168244 336488 546793 672976 799159 1093586 1345952 1598318 2187172 3196636 4374344 6393272 8748688 10389067 12786544 17497376 20778134 25573088 41556268 83112536 166225072 332450144