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328143168 = 26321035531
BaseRepresentation
bin10011100011110…
…001000101000000
3211212110101210200
4103203301011000
51133001040133
652321125200
711063112423
oct2343610500
9755411720
10328143168
11159256901
1291a89800
1352ca2872
143181b9ba
151dc1c913
hex138f1140

328143168 has 84 divisors (see below), whose sum is σ = 949866528. Its totient is φ = 108299520.

The previous prime is 328143133. The next prime is 328143187. The reversal of 328143168 is 861341823.

328143168 is a `hidden beast` number, since 328 + 14 + 316 + 8 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56563 + ... + 62093.

Almost surely, 2328143168 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 328143168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474933264).

328143168 is an abundant number, since it is smaller than the sum of its proper divisors (621723360).

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

328143168 is a wasteful number, since it uses less digits than its factorization.

328143168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5652 (or 5639 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 328143168 is about 18114.7224102386. The cubic root of 328143168 is about 689.7437737992.

The spelling of 328143168 in words is "three hundred twenty-eight million, one hundred forty-three thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 103 144 192 206 288 309 412 576 618 824 927 1236 1648 1854 2472 3296 3708 4944 5531 6592 7416 9888 11062 14832 16593 19776 22124 29664 33186 44248 49779 59328 66372 88496 99558 132744 176992 199116 265488 353984 398232 530976 569693 796464 1061952 1139386 1592928 1709079 2278772 3185856 3418158 4557544 5127237 6836316 9115088 10254474 13672632 18230176 20508948 27345264 36460352 41017896 54690528 82035792 109381056 164071584 328143168