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327274944 = 26313912263
BaseRepresentation
bin10011100000011…
…101000111000000
3211210211021211020
4103200131013000
51132240244234
652250345440
711052535233
oct2340350700
9753737736
10327274944
11158813567
129172b280
1352a5a619
143167341a
151daea549
hex1381d1c0

327274944 has 56 divisors (see below), whose sum is σ = 872215680. Its totient is φ = 108297984.

The previous prime is 327274933. The next prime is 327274949. The reversal of 327274944 is 449472723.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 327274896 and 327274905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (327274949) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 20557 + ... + 32819.

It is an arithmetic number, because the mean of its divisors is an integer number (15575280).

Almost surely, 2327274944 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 327274944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436107840).

327274944 is an abundant number, since it is smaller than the sum of its proper divisors (544940736).

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

327274944 is a wasteful number, since it uses less digits than its factorization.

327274944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12417 (or 12407 counting only the distinct ones).

The product of its digits is 338688, while the sum is 42.

The square root of 327274944 is about 18090.7419416673. The cubic root of 327274944 is about 689.1349124892.

The spelling of 327274944 in words is "three hundred twenty-seven million, two hundred seventy-four thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 139 192 278 417 556 834 1112 1668 2224 3336 4448 6672 8896 12263 13344 24526 26688 36789 49052 73578 98104 147156 196208 294312 392416 588624 784832 1177248 1704557 2354496 3409114 5113671 6818228 10227342 13636456 20454684 27272912 40909368 54545824 81818736 109091648 163637472 327274944