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328249956 = 223296611427
BaseRepresentation
bin10011100100001…
…011001001100100
3211212122211021210
4103210023021210
51133012444311
652323311420
711064035646
oct2344131144
9755584253
10328249956
1115931a061
1291b1b570
135300c358
1431848896
151dc3e3a6
hex1390b264

328249956 has 48 divisors (see below), whose sum is σ = 794082240. Its totient is φ = 105409920.

The previous prime is 328249949. The next prime is 328249963. The reversal of 328249956 is 659942823.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (328249949) and next prime (328249963).

It is a super-2 number, since 2×3282499562 = 215496067228003872, which contains 22 as substring.

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, 229315 + ... + 230741.

It is an arithmetic number, because the mean of its divisors is an integer number (16543380).

Almost surely, 2328249956 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 328249956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397041120).

328249956 is an abundant number, since it is smaller than the sum of its proper divisors (465832284).

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

328249956 is a wasteful number, since it uses less digits than its factorization.

328249956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2124 (or 2122 counting only the distinct ones).

The product of its digits is 933120, while the sum is 48.

The square root of 328249956 is about 18117.6697177093. The cubic root of 328249956 is about 689.8185870482.

The spelling of 328249956 in words is "three hundred twenty-eight million, two hundred forty-nine thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 12 29 58 87 116 174 348 661 1322 1427 1983 2644 2854 3966 4281 5708 7932 8562 17124 19169 38338 41383 57507 76676 82766 115014 124149 165532 230028 248298 496596 943247 1886494 2829741 3772988 5659482 11318964 27354163 54708326 82062489 109416652 164124978 328249956