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327420392 = 2313832457
BaseRepresentation
bin10011100001000…
…000100111101000
3211211002200100012
4103201000213220
51132304423032
652253431052
711054012255
oct2341004750
9754080305
10327420392
11158902872
129179b488
1352aab8a0
14316b042c
151db286b2
hex138409e8

327420392 has 48 divisors (see below), whose sum is σ = 670663140. Its totient is φ = 148969728.

The previous prime is 327420349. The next prime is 327420421. The reversal of 327420392 is 293024723.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 327392836 + 27556 = 18094^2 + 166^2 .

It is a super-2 number, since 2×3274203922 = 214408226194867328, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 716228 + ... + 716684.

Almost surely, 2327420392 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 327420392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335331570).

327420392 is an abundant number, since it is smaller than the sum of its proper divisors (343242748).

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

327420392 is a wasteful number, since it uses less digits than its factorization.

327420392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 32.

The square root of 327420392 is about 18094.7614518678. The cubic root of 327420392 is about 689.2369861448.

The spelling of 327420392 in words is "three hundred twenty-seven million, four hundred twenty thousand, three hundred ninety-two".

Divisors: 1 2 4 8 13 26 52 83 104 166 332 457 664 914 1079 1828 2158 3656 4316 5941 6889 8632 11882 13778 23764 27556 37931 47528 55112 75862 89557 151724 179114 303448 358228 493103 716456 986206 1972412 3148273 3944824 6296546 12593092 25186184 40927549 81855098 163710196 327420392