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328402807380 = 223356131132057
BaseRepresentation
bin1001100011101100101…
…01010010101001010100
31011101122221211010202000
410301312111102221110
520340032104314010
6410511031515300
732504061543054
oct4616625225124
91141587733660
10328402807380
1111730290692a
1253791528b30
1324c783319cb
1411c753c7564
158820e907c0
hex4c76552a54

328402807380 has 192 divisors, whose sum is σ = 1041818319360. Its totient is φ = 85858790400.

The previous prime is 328402807333. The next prime is 328402807393. The reversal of 328402807380 is 83708204823.

328402807380 is a `hidden beast` number, since 3 + 28 + 402 + 80 + 73 + 80 = 666.

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 63 ways as a sum of consecutive naturals, for example, 10228312 + ... + 10260368.

It is an arithmetic number, because the mean of its divisors is an integer number (5426137080).

Almost surely, 2328402807380 is an apocalyptic number.

328402807380 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 328402807380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520909159680).

328402807380 is an abundant number, since it is smaller than the sum of its proper divisors (713415511980).

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

328402807380 is a wasteful number, since it uses less digits than its factorization.

328402807380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32447 (or 32439 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 328402807380 in words is "three hundred twenty-eight billion, four hundred two million, eight hundred seven thousand, three hundred eighty".