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328990640 = 245111732161
BaseRepresentation
bin10011100110111…
…111111110110000
3211221001110022112
4103212333332300
51133210200030
652351224452
711103242246
oct2346777660
9757043275
10328990640
111597855a0
1292218128
135320b524
143199c796
151dd38a95
hex139bffb0

328990640 has 80 divisors (see below), whose sum is σ = 839651616. Its totient is φ = 118886400.

The previous prime is 328990639. The next prime is 328990687. The reversal of 328990640 is 46099823.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 151160 + ... + 153320.

Almost surely, 2328990640 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 328990640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419825808).

328990640 is an abundant number, since it is smaller than the sum of its proper divisors (510660976).

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

328990640 is a wasteful number, since it uses less digits than its factorization.

328990640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2358 (or 2352 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 41.

The square root of 328990640 is about 18138.0991286298. The cubic root of 328990640 is about 690.3370474044.

The spelling of 328990640 in words is "three hundred twenty-eight million, nine hundred ninety thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 173 176 220 346 440 692 865 880 1384 1730 1903 2161 2768 3460 3806 4322 6920 7612 8644 9515 10805 13840 15224 17288 19030 21610 23771 30448 34576 38060 43220 47542 76120 86440 95084 118855 152240 172880 190168 237710 373853 380336 475420 747706 950840 1495412 1869265 1901680 2990824 3738530 4112383 5981648 7477060 8224766 14954120 16449532 20561915 29908240 32899064 41123830 65798128 82247660 164495320 328990640