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328045536 = 253271312517
BaseRepresentation
bin10011100011011…
…001001111100000
3211212021102212200
4103203121033200
51132434424121
652315053200
711062224660
oct2343311740
9755242780
10328045536
1115919a515
1291a41200
1352c6a2b0
14317d41a0
151dbeda26
hex138d93e0

328045536 has 144 divisors (see below), whose sum is σ = 1148251104. Its totient is φ = 86510592.

The previous prime is 328045517. The next prime is 328045547. The reversal of 328045536 is 635540823.

It is a happy number.

328045536 is a `hidden beast` number, since 3 + 2 + 80 + 45 + 536 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×3280455362 = 215227747379054592, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 328045536.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19950 + ... + 32466.

It is an arithmetic number, because the mean of its divisors is an integer number (7973966).

Almost surely, 2328045536 is an apocalyptic number.

328045536 is a gapful number since it is divisible by the number (36) 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 328045536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574125552).

328045536 is an abundant number, since it is smaller than the sum of its proper divisors (820205568).

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

328045536 is a wasteful number, since it uses less digits than its factorization.

328045536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12553 (or 12542 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 328045536 is about 18112.0273851383. The cubic root of 328045536 is about 689.6753608315.

The spelling of 328045536 in words is "three hundred twenty-eight million, forty-five thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 32 36 39 42 48 52 56 63 72 78 84 91 96 104 112 117 126 144 156 168 182 208 224 234 252 273 288 312 336 364 416 468 504 546 624 672 728 819 936 1008 1092 1248 1456 1638 1872 2016 2184 2912 3276 3744 4368 6552 8736 12517 13104 25034 26208 37551 50068 75102 87619 100136 112653 150204 162721 175238 200272 225306 262857 300408 325442 350476 400544 450612 488163 525714 600816 650884 700952 788571 901224 976326 1051428 1139047 1201632 1301768 1401904 1464489 1577142 1802448 1952652 2102856 2278094 2603536 2803808 2928978 3154284 3417141 3604896 3905304 4205712 4556188 5207072 5857956 6308568 6834282 7810608 8411424 9112376 10251423 11715912 12617136 13668564 15621216 18224752 20502846 23431824 25234272 27337128 36449504 41005692 46863648 54674256 82011384 109348512 164022768 328045536