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327020880 = 243510313229
BaseRepresentation
bin10011011111011…
…111000101010000
3211210100101022110
4103133133011100
51132204132010
652241105320
711050426434
oct2337370520
9753311273
10327020880
1115865a69a
1291628240
135299baa4
14316089c4
151da9a120
hex137df150

327020880 has 80 divisors (see below), whose sum is σ = 1023684480. Its totient is φ = 86352384.

The previous prime is 327020867. The next prime is 327020887. The reversal of 327020880 is 88020723.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (327020887) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18106 + ... + 31334.

It is an arithmetic number, because the mean of its divisors is an integer number (12796056).

Almost surely, 2327020880 is an apocalyptic number.

327020880 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 327020880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511842240).

327020880 is an abundant number, since it is smaller than the sum of its proper divisors (696663600).

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

327020880 is a wasteful number, since it uses less digits than its factorization.

327020880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13348 (or 13342 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 327020880 is about 18083.7186441285. The cubic root of 327020880 is about 688.9565408567.

The spelling of 327020880 in words is "three hundred twenty-seven million, twenty thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 103 120 206 240 309 412 515 618 824 1030 1236 1545 1648 2060 2472 3090 4120 4944 6180 8240 12360 13229 24720 26458 39687 52916 66145 79374 105832 132290 158748 198435 211664 264580 317496 396870 529160 634992 793740 1058320 1362587 1587480 2725174 3174960 4087761 5450348 6812935 8175522 10900696 13625870 16351044 20438805 21801392 27251740 32702088 40877610 54503480 65404176 81755220 109006960 163510440 327020880