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328103640 = 233258591061
BaseRepresentation
bin10011100011100…
…111011011011000
3211212101101120200
4103203213123120
51132443304030
652320222200
711062556244
oct2343473330
9755341520
10328103640
1115922a137
1291a6a960
1352c8a887
143180b424
151dc10d60
hex138e76d8

328103640 has 96 divisors (see below), whose sum is σ = 1068584400. Its totient is φ = 87310080.

The previous prime is 328103627. The next prime is 328103641. The reversal of 328103640 is 46301823.

It is a happy number.

328103640 is a `hidden beast` number, since 3 + 2 + 8 + 10 + 3 + 640 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (328103641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 308710 + ... + 309770.

Almost surely, 2328103640 is an apocalyptic number.

328103640 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 328103640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534292200).

328103640 is an abundant number, since it is smaller than the sum of its proper divisors (740480760).

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

328103640 is a wasteful number, since it uses less digits than its factorization.

328103640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1937 (or 1930 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 328103640 is about 18113.6313311274. The cubic root of 328103640 is about 689.7160772637.

The spelling of 328103640 in words is "three hundred twenty-eight million, one hundred three thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 859 1061 1718 2122 2577 3183 3436 4244 4295 5154 5305 6366 6872 7731 8488 8590 9549 10308 10610 12732 12885 15462 15915 17180 19098 20616 21220 25464 25770 30924 31830 34360 38196 38655 42440 47745 51540 61848 63660 76392 77310 95490 103080 127320 154620 190980 309240 381960 911399 1822798 2734197 3645596 4556995 5468394 7291192 8202591 9113990 10936788 13670985 16405182 18227980 21873576 27341970 32810364 36455960 41012955 54683940 65620728 82025910 109367880 164051820 328103640