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328815872 = 2872112383
BaseRepresentation
bin10011100110010…
…101010100000000
3211220201120120122
4103212111110000
51133134101442
652343355412
711101613600
oct2346252400
9756646518
10328815872
11159676260
1292152b68
1353179b08
1431954c00
151dd01dd2
hex13995500

328815872 has 108 divisors (see below), whose sum is σ = 833265216. Its totient is φ = 128056320.

The previous prime is 328815863. The next prime is 328815913. The reversal of 328815872 is 278518823.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 136793 + ... + 139175.

Almost surely, 2328815872 is an apocalyptic number.

328815872 is a gapful number since it is divisible by the number (32) 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 328815872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416632608).

328815872 is an abundant number, since it is smaller than the sum of its proper divisors (504449344).

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

328815872 is a wasteful number, since it uses less digits than its factorization.

328815872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2424 (or 2403 counting only the distinct ones).

The product of its digits is 215040, while the sum is 44.

The square root of 328815872 is about 18133.2807842376. The cubic root of 328815872 is about 690.2147843564.

The spelling of 328815872 in words is "three hundred twenty-eight million, eight hundred fifteen thousand, eight hundred seventy-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 49 56 64 77 88 98 112 128 154 176 196 224 256 308 352 392 448 539 616 704 784 896 1078 1232 1408 1568 1792 2156 2383 2464 2816 3136 4312 4766 4928 6272 8624 9532 9856 12544 16681 17248 19064 19712 26213 33362 34496 38128 52426 66724 68992 76256 104852 116767 133448 137984 152512 183491 209704 233534 266896 305024 366982 419408 467068 533792 610048 733964 838816 934136 1067584 1284437 1467928 1677632 1868272 2135168 2568874 2935856 3355264 3736544 4270336 5137748 5871712 6710528 7473088 10275496 11743424 14946176 20550992 23486848 29892352 41101984 46973696 82203968 164407936 328815872