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328318368 = 25371273847
BaseRepresentation
bin10011100100011…
…011110110100000
3211212210022010120
4103210123312200
51133022141433
652325000240
711064442260
oct2344336640
9755708116
10328318368
111593664a4
1291b53080
1353034531
14318657a0
151dc547b3
hex1391bda0

328318368 has 96 divisors (see below), whose sum is σ = 992968704. Its totient is φ = 93042432.

The previous prime is 328318351. The next prime is 328318379. The reversal of 328318368 is 863813823.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83421 + ... + 87267.

It is an arithmetic number, because the mean of its divisors is an integer number (10343424).

Almost surely, 2328318368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 328318368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496484352).

328318368 is an abundant number, since it is smaller than the sum of its proper divisors (664650336).

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

328318368 is a wasteful number, since it uses less digits than its factorization.

328318368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3994 (or 3986 counting only the distinct ones).

The product of its digits is 165888, while the sum is 42.

The square root of 328318368 is about 18119.5576104937. The cubic root of 328318368 is about 689.8665064159.

The spelling of 328318368 in words is "three hundred twenty-eight million, three hundred eighteen thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 127 168 224 254 336 381 508 672 762 889 1016 1524 1778 2032 2667 3048 3556 3847 4064 5334 6096 7112 7694 10668 11541 12192 14224 15388 21336 23082 26929 28448 30776 42672 46164 53858 61552 80787 85344 92328 107716 123104 161574 184656 215432 323148 369312 430864 488569 646296 861728 977138 1292592 1465707 1954276 2585184 2931414 3419983 3908552 5862828 6839966 7817104 10259949 11725656 13679932 15634208 20519898 23451312 27359864 41039796 46902624 54719728 82079592 109439456 164159184 328318368