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328619840 = 26531157211
BaseRepresentation
bin10011100101100…
…101011101000000
3211220100121200012
4103211211131000
51133111313330
652335244052
711100136223
oct2345453500
9756317605
10328619840
11159551a4a
1292079628
135310b813
14319035ba
151dcb3c95
hex13965740

328619840 has 112 divisors (see below), whose sum is σ = 816766464. Its totient is φ = 125798400.

The previous prime is 328619831. The next prime is 328619869. The reversal of 328619840 is 48916823.

328619840 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 an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1557335 + ... + 1557545.

Almost surely, 2328619840 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 328619840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408383232).

328619840 is an abundant number, since it is smaller than the sum of its proper divisors (488146624).

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

328619840 is a wasteful number, since it uses less digits than its factorization.

328619840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 41.

The square root of 328619840 is about 18127.8746685870. The cubic root of 328619840 is about 690.0775940184.

The spelling of 328619840 in words is "three hundred twenty-eight million, six hundred nineteen thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 155 157 160 211 248 310 314 320 422 496 620 628 785 844 992 1055 1240 1256 1570 1688 1984 2110 2480 2512 3140 3376 4220 4867 4960 5024 6280 6541 6752 8440 9734 9920 10048 12560 13082 13504 16880 19468 24335 25120 26164 32705 33127 33760 38936 48670 50240 52328 65410 66254 67520 77872 97340 104656 130820 132508 155744 165635 194680 209312 261640 265016 311488 331270 389360 418624 523280 530032 662540 778720 1026937 1046560 1060064 1325080 1557440 2053874 2093120 2120128 2650160 4107748 5134685 5300320 8215496 10269370 10600640 16430992 20538740 32861984 41077480 65723968 82154960 164309920 328619840