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328768902 = 233711372137
BaseRepresentation
bin10011100110001…
…001110110000110
3211220122012011000
4103212021312012
51133131101102
652342354130
711101326630
oct2346116606
9756565130
10328768902
11159643a40
129212b946
1353161617
1431941a50
151dce301c
hex13989d86

328768902 has 128 divisors (see below), whose sum is σ = 935930880. Its totient is φ = 83047680.

The previous prime is 328768889. The next prime is 328768907. The reversal of 328768902 is 209867823.

328768902 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (328768907) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 152778 + ... + 154914.

It is an arithmetic number, because the mean of its divisors is an integer number (7311960).

Almost surely, 2328768902 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 328768902, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467965440).

328768902 is an abundant number, since it is smaller than the sum of its proper divisors (607161978).

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

328768902 is a wasteful number, since it uses less digits than its factorization.

328768902 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2203 (or 2197 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 328768902 is about 18131.9856055535. The cubic root of 328768902 is about 690.1819180068.

The spelling of 328768902 in words is "three hundred twenty-eight million, seven hundred sixty-eight thousand, nine hundred two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 37 42 54 63 66 74 77 99 111 126 154 189 198 222 231 259 297 333 378 407 462 518 594 666 693 777 814 999 1221 1386 1554 1998 2079 2137 2331 2442 2849 3663 4158 4274 4662 5698 6411 6993 7326 8547 10989 12822 13986 14959 17094 19233 21978 23507 25641 29918 38466 44877 47014 51282 57699 70521 76923 79069 89754 115398 134631 141042 153846 158138 164549 211563 237207 269262 329098 403893 423126 474414 493647 553483 634689 711621 807786 869759 987294 1106966 1269378 1423242 1480941 1660449 1739518 2134863 2609277 2961882 3320898 4269726 4442823 4981347 5218554 6088313 7827831 8885646 9962694 12176626 14944041 15655662 18264939 23483493 29888082 36529878 46966986 54794817 109589634 164384451 328768902