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328013532 = 2232711241491
BaseRepresentation
bin10011100011010…
…001011011011100
3211212012210222100
4103203101123130
51132432413112
652314245100
711062032450
oct2343213334
9755183870
10328013532
11159178470
1291a26790
1352c58862
14317c6660
151dbe42dc
hex138d16dc

328013532 has 144 divisors (see below), whose sum is σ = 1040143104. Its totient is φ = 84672000.

The previous prime is 328013527. The next prime is 328013533. The reversal of 328013532 is 235310823.

It is a junction number, because it is equal to n+sod(n) for n = 328013496 and 328013505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (328013533) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 667807 + ... + 668297.

It is an arithmetic number, because the mean of its divisors is an integer number (7223216).

Almost surely, 2328013532 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 328013532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520071552).

328013532 is an abundant number, since it is smaller than the sum of its proper divisors (712129572).

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

328013532 is a wasteful number, since it uses less digits than its factorization.

328013532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 760 (or 755 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 328013532 is about 18111.1438622744. The cubic root of 328013532 is about 689.6529319453.

The spelling of 328013532 in words is "three hundred twenty-eight million, thirteen thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 132 154 198 231 241 252 308 396 462 482 491 693 723 924 964 982 1386 1446 1473 1687 1964 2169 2651 2772 2892 2946 3374 3437 4338 4419 5061 5302 5401 5892 6748 6874 7953 8676 8838 10122 10311 10604 10802 13748 15183 15906 16203 17676 18557 20244 20622 21604 23859 30366 30933 31812 32406 37114 37807 41244 47718 48609 55671 60732 61866 64812 74228 75614 95436 97218 111342 113421 118331 123732 151228 167013 194436 222684 226842 236662 334026 340263 354993 453684 473324 668052 680526 709986 828317 1064979 1301641 1361052 1419972 1656634 2129958 2484951 2603282 3313268 3904923 4259916 4969902 5206564 7454853 7809846 9111487 9939804 11714769 14909706 15619692 18222974 23429538 27334461 29819412 36445948 46859076 54668922 82003383 109337844 164006766 328013532