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327934980 = 22345475973
BaseRepresentation
bin10011100010111…
…110010000000100
3211212001211020000
4103202332100010
51132422404410
652312441300
711061254442
oct2342762004
9755054200
10327934980
1115912444a
12919a9230
1352c2bb89
14317a5b92
151dbcadc0
hex138be404

327934980 has 240 divisors, whose sum is σ = 1083075840. Its totient is φ = 82985472.

The previous prime is 327934979. The next prime is 327935011. The reversal of 327934980 is 89439723.

It is a happy number.

It is a super-2 number, since 2×3279349802 = 215082702215200800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4492224 + ... + 4492296.

It is an arithmetic number, because the mean of its divisors is an integer number (4512816).

Almost surely, 2327934980 is an apocalyptic number.

327934980 is a gapful number since it is divisible by the number (30) 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 327934980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541537920).

327934980 is an abundant number, since it is smaller than the sum of its proper divisors (755140860).

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

327934980 is a wasteful number, since it uses less digits than its factorization.

327934980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 327934980 is about 18108.9751228500. The cubic root of 327934980 is about 689.5978753324.

It can be divided in two parts, 32793 and 4980, that added together give a palindrome (37773).

The spelling of 327934980 in words is "three hundred twenty-seven million, nine hundred thirty-four thousand, nine hundred eighty".