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328169016 = 233371271709
BaseRepresentation
bin10011100011110…
…111011000111000
3211212111201021000
4103203313120320
51133002402031
652321445000
711063250660
oct2343673070
9755451230
10328169016
1115927426a
1291aa0760
1352cb1566
14318271a0
151dc253e6
hex138f7638

328169016 has 128 divisors (see below), whose sum is σ = 1050624000. Its totient is φ = 92969856.

The previous prime is 328169011. The next prime is 328169059. The reversal of 328169016 is 610961823.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (328169011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 191170 + ... + 192878.

It is an arithmetic number, because the mean of its divisors is an integer number (8208000).

Almost surely, 2328169016 is an apocalyptic number.

328169016 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 328169016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525312000).

328169016 is an abundant number, since it is smaller than the sum of its proper divisors (722454984).

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

328169016 is a wasteful number, since it uses less digits than its factorization.

328169016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1858 (or 1848 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 328169016 is about 18115.4358490211. The cubic root of 328169016 is about 689.7618838101.

The spelling of 328169016 in words is "three hundred twenty-eight million, one hundred sixty-nine thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 127 168 189 216 252 254 378 381 504 508 756 762 889 1016 1143 1512 1524 1709 1778 2286 2667 3048 3418 3429 3556 4572 5127 5334 6836 6858 7112 8001 9144 10254 10668 11963 13672 13716 15381 16002 20508 21336 23926 24003 27432 30762 32004 35889 41016 46143 47852 48006 61524 64008 71778 92286 95704 96012 107667 123048 143556 184572 192024 215334 217043 287112 323001 369144 430668 434086 646002 651129 861336 868172 1292004 1302258 1519301 1736344 1953387 2584008 2604516 3038602 3906774 4557903 5209032 5860161 6077204 7813548 9115806 11720322 12154408 13673709 15627096 18231612 23440644 27347418 36463224 41021127 46881288 54694836 82042254 109389672 164084508 328169016