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328343328 = 25333710271
BaseRepresentation
bin10011100100100…
…001111100100000
3211212211120101000
4103210201330200
51133023441303
652325312000
711064605115
oct2344417440
9755746330
10328343328
11159383225
1291b65600
13530429c1
143187090c
151dc5bda3
hex13921f20

328343328 has 96 divisors (see below), whose sum is σ = 983646720. Its totient is φ = 106479360.

The previous prime is 328343317. The next prime is 328343341. The reversal of 328343328 is 823343823.

It is a happy number.

328343328 is a `hidden beast` number, since 328 + 3 + 4 + 3 + 328 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 328343292 and 328343301.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26833 + ... + 37103.

It is an arithmetic number, because the mean of its divisors is an integer number (10246320).

Almost surely, 2328343328 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 328343328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491823360).

328343328 is an abundant number, since it is smaller than the sum of its proper divisors (655303392).

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

328343328 is a wasteful number, since it uses less digits than its factorization.

328343328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10327 (or 10313 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 328343328 is about 18120.2463559412. The cubic root of 328343328 is about 689.8839880571.

The spelling of 328343328 in words is "three hundred twenty-eight million, three hundred forty-three thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 37 48 54 72 74 96 108 111 144 148 216 222 288 296 333 432 444 592 666 864 888 999 1184 1332 1776 1998 2664 3552 3996 5328 7992 10271 10656 15984 20542 30813 31968 41084 61626 82168 92439 123252 164336 184878 246504 277317 328672 369756 380027 493008 554634 739512 760054 986016 1109268 1140081 1479024 1520108 2218536 2280162 2958048 3040216 3420243 4437072 4560324 6080432 6840486 8874144 9120648 10260729 12160864 13680972 18241296 20521458 27361944 36482592 41042916 54723888 82085832 109447776 164171664 328343328