Search a number
-
+
332162404 = 227291273221
BaseRepresentation
bin10011110011000…
…110010101100100
3212011000121011021
4103303012111210
51140013144104
652543220524
711142222340
oct2363062544
9764017137
10332162404
11160551592
12932a7744
1353a7c102
1432186620
151e263754
hex13cc6564

332162404 has 48 divisors (see below), whose sum is σ = 692858880. Its totient is φ = 136321920.

The previous prime is 332162399. The next prime is 332162407. The reversal of 332162404 is 404261233.

It is a super-2 number, since 2×3321624042 = 220663725262118432, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (332162407) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101514 + ... + 104734.

It is an arithmetic number, because the mean of its divisors is an integer number (14434560).

Almost surely, 2332162404 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 332162404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346429440).

332162404 is an abundant number, since it is smaller than the sum of its proper divisors (360696476).

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

332162404 is a wasteful number, since it uses less digits than its factorization.

332162404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3388 (or 3386 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

The square root of 332162404 is about 18225.3231521419. The cubic root of 332162404 is about 692.5484447856.

The spelling of 332162404 in words is "three hundred thirty-two million, one hundred sixty-two thousand, four hundred four".

Divisors: 1 2 4 7 14 28 29 58 116 127 203 254 406 508 812 889 1778 3221 3556 3683 6442 7366 12884 14732 22547 25781 45094 51562 90188 93409 103124 186818 373636 409067 653863 818134 1307726 1636268 2615452 2863469 5726938 11453876 11862943 23725886 47451772 83040601 166081202 332162404