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327397944 = 233314311021
BaseRepresentation
bin10011100000111…
…011001000111000
3211211001112112210
4103200323020320
51132303213234
652253135120
711053556646
oct2340731070
9754045483
10327397944
11158897a15
129178a4a0
1352aa15c3
14316a6196
151db21be9
hex1383b238

327397944 has 64 divisors (see below), whose sum is σ = 847687680. Its totient is φ = 105264000.

The previous prime is 327397943. The next prime is 327397957. The reversal of 327397944 is 449793723.

It is a junction number, because it is equal to n+sod(n) for n = 327397893 and 327397902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (327397943) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 320154 + ... + 321174.

It is an arithmetic number, because the mean of its divisors is an integer number (13245120).

Almost surely, 2327397944 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 327397944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423843840).

327397944 is an abundant number, since it is smaller than the sum of its proper divisors (520289736).

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

327397944 is a wasteful number, since it uses less digits than its factorization.

327397944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1492 (or 1488 counting only the distinct ones).

The product of its digits is 1143072, while the sum is 48.

The square root of 327397944 is about 18094.1411512125. The cubic root of 327397944 is about 689.2212343816.

The spelling of 327397944 in words is "three hundred twenty-seven million, three hundred ninety-seven thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 186 248 372 431 744 862 1021 1293 1724 2042 2586 3063 3448 4084 5172 6126 8168 10344 12252 13361 24504 26722 31651 40083 53444 63302 80166 94953 106888 126604 160332 189906 253208 320664 379812 440051 759624 880102 1320153 1760204 2640306 3520408 5280612 10561224 13641581 27283162 40924743 54566324 81849486 109132648 163698972 327397944