Search a number
-
+
332369361 = 325921032
BaseRepresentation
bin10011110011111…
…000110111010001
3212011102010001100
4103303320313101
51140041304421
652551455013
711144043612
oct2363706721
9764363040
10332369361
11160683025
1293387469
1353b2237c
14321dbc09
151e2a4c26
hex13cf8dd1

332369361 has 27 divisors (see below), whose sum is σ = 493151529. Its totient is φ = 215709192.

The previous prime is 332369341. The next prime is 332369371. The reversal of 332369361 is 163963233.

The square root of 332369361 is 18231.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 332369361 - 223 = 323980753 is a prime.

It is a super-2 number, since 2×3323693612 = 220938784263096642, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (332369311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3226836 + ... + 3226938.

Almost surely, 2332369361 is an apocalyptic number.

332369361 is the 18231-st square number.

332369361 is the 9116-th centered octagonal number.

It is an amenable number.

332369361 is a deficient number, since it is larger than the sum of its proper divisors (160782168).

332369361 is an equidigital number, since it uses as much as digits as its factorization.

332369361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 165 counting only the distinct ones).

The product of its digits is 52488, while the sum is 36.

The cubic root of 332369361 is about 692.6922479271.

Multiplying 332369361 by its sum of digits (36), we get a square (11965296996 = 1093862).

The spelling of 332369361 in words is "three hundred thirty-two million, three hundred sixty-nine thousand, three hundred sixty-one".

Divisors: 1 3 9 59 103 177 309 531 927 3481 6077 10443 10609 18231 31329 31827 54693 95481 358543 625931 1075629 1877793 3226887 5633379 36929929 110789787 332369361