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327894336 = 26327117393
BaseRepresentation
bin10011100010110…
…100010101000000
3211211222202110200
4103202310111000
51132420104321
652311525200
711061025110
oct2342642500
9754882420
10327894336
111590a6960
1291989800
1352c16523
1431795040
151dbbdd26
hex138b4540

327894336 has 168 divisors, whose sum is σ = 1171919424. Its totient is φ = 85155840.

The previous prime is 327894311. The next prime is 327894361. The reversal of 327894336 is 633498723.

It is an interprime number because it is at equal distance from previous prime (327894311) and next prime (327894361).

It is a tau number, because it is divible by the number of its divisors (168).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 327894291 and 327894300.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 40656 + ... + 48048.

Almost surely, 2327894336 is an apocalyptic number.

327894336 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 327894336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585959712).

327894336 is an abundant number, since it is smaller than the sum of its proper divisors (844025088).

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

327894336 is a wasteful number, since it uses less digits than its factorization.

327894336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7429 (or 7416 counting only the distinct ones).

The product of its digits is 653184, while the sum is 45.

The square root of 327894336 is about 18107.8528821061. The cubic root of 327894336 is about 689.5693847517.

The spelling of 327894336 in words is "three hundred twenty-seven million, eight hundred ninety-four thousand, three hundred thirty-six".