Search a number
-
+
332073144 = 233213354779
BaseRepresentation
bin10011110010110…
…000100010111000
3212010212001201100
4103302300202320
51140002320034
652541251400
711141401164
oct2362604270
9763761640
10332073144
111604a0517
1293263b60
1353a4a5b0
1432161ca4
151e247099
hex13cb08b8

332073144 has 48 divisors (see below), whose sum is σ = 968549400. Its totient is φ = 102176064.

The previous prime is 332073083. The next prime is 332073163. The reversal of 332073144 is 441370233.

It is a super-2 number, since 2×3320731442 = 220545145932089472, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 176454 + ... + 178325.

Almost surely, 2332073144 is an apocalyptic number.

It is an amenable number.

332073144 is an abundant number, since it is smaller than the sum of its proper divisors (636476256).

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

332073144 is a wasteful number, since it uses less digits than its factorization.

332073144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354804 (or 354797 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 332073144 is about 18222.8741970085. The cubic root of 332073144 is about 692.4864044388.

The spelling of 332073144 in words is "three hundred thirty-two million, seventy-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 354779 709558 1064337 1419116 2128674 2838232 3193011 4257348 4612127 6386022 8514696 9224254 12772044 13836381 18448508 25544088 27672762 36897016 41509143 55345524 83018286 110691048 166036572 332073144