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327899072 = 2647671627
BaseRepresentation
bin10011100010110…
…101011111000000
3211211222222222002
4103202311133000
51132420232242
652312003132
711061044654
oct2342653700
9754888862
10327899072
111590aa476
12919904a8
1352c18727
1431796a64
151dbc0432
hex138b57c0

327899072 has 56 divisors (see below), whose sum is σ = 674851584. Its totient is φ = 157969152.

The previous prime is 327899071. The next prime is 327899081. The reversal of 327899072 is 270998723.

It is a super-2 number, since 2×3278990722 = 215035602836922368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (47).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (327899071) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 200723 + ... + 202349.

Almost surely, 2327899072 is an apocalyptic number.

327899072 is a gapful number since it is divisible by the number (32) 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 327899072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337425792).

327899072 is an abundant number, since it is smaller than the sum of its proper divisors (346952512).

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

327899072 is a wasteful number, since it uses less digits than its factorization.

327899072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1753 (or 1743 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 47.

The square root of 327899072 is about 18107.9836536264. The cubic root of 327899072 is about 689.5727047083.

The spelling of 327899072 in words is "three hundred twenty-seven million, eight hundred ninety-nine thousand, seventy-two".

Divisors: 1 2 4 8 16 32 47 64 67 94 134 188 268 376 536 752 1072 1504 1627 2144 3008 3149 3254 4288 6298 6508 12596 13016 25192 26032 50384 52064 76469 100768 104128 109009 152938 201536 218018 305876 436036 611752 872072 1223504 1744144 2447008 3488288 4894016 5123423 6976576 10246846 20493692 40987384 81974768 163949536 327899072