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328211676 = 223413292687
BaseRepresentation
bin10011100100000…
…001110011011100
3211212120212210000
4103210001303130
51133010233201
652322414300
711063516232
oct2344016334
9755525700
10328211676
111592a3321
1291b01390
1352cc7ac0
1431838952
151dc32d86
hex13901cdc

328211676 has 120 divisors (see below), whose sum is σ = 956229120. Its totient is φ = 97469568.

The previous prime is 328211671. The next prime is 328211699. The reversal of 328211676 is 676112823.

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 328211676.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (328211671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 120805 + ... + 123491.

It is an arithmetic number, because the mean of its divisors is an integer number (7968576).

Almost surely, 2328211676 is an apocalyptic number.

328211676 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 328211676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478114560).

328211676 is an abundant number, since it is smaller than the sum of its proper divisors (628017444).

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

328211676 is a wasteful number, since it uses less digits than its factorization.

328211676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2745 (or 2734 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 328211676 is about 18116.6132596576. The cubic root of 328211676 is about 689.7917708150.

The spelling of 328211676 in words is "three hundred twenty-eight million, two hundred eleven thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 29 36 39 52 54 58 78 81 87 108 116 117 156 162 174 234 261 324 348 351 377 468 522 702 754 783 1044 1053 1131 1404 1508 1566 2106 2262 2349 2687 3132 3393 4212 4524 4698 5374 6786 8061 9396 10179 10748 13572 16122 20358 24183 30537 32244 34931 40716 48366 61074 69862 72549 77923 96732 104793 122148 139724 145098 155846 209586 217647 233769 290196 311692 314379 419172 435294 467538 628758 701307 870588 935076 943137 1012999 1257516 1402614 1886274 2025998 2103921 2805228 2829411 3038997 3772548 4051996 4207842 5658822 6077994 6311763 8415684 9116991 11317644 12155988 12623526 18233982 25247052 27350973 36467964 54701946 82052919 109403892 164105838 328211676