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328229040 = 24351399839
BaseRepresentation
bin10011100100000…
…110000010110000
3211212121202121010
4103210012002300
51133011312130
652323030520
711063620656
oct2344060260
9755552533
10328229040
11159305377
1291b0b440
1353002989
1431840dd6
151dc380b0
hex139060b0

328229040 has 80 divisors (see below), whose sum is σ = 1024934400. Its totient is φ = 86889216.

The previous prime is 328229039. The next prime is 328229051. The reversal of 328229040 is 40922823.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 328228989 and 328229007.

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, 28441 + ... + 38279.

It is an arithmetic number, because the mean of its divisors is an integer number (12811680).

Almost surely, 2328229040 is an apocalyptic number.

328229040 is a gapful number since it is divisible by the number (30) 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 328229040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512467200).

328229040 is an abundant number, since it is smaller than the sum of its proper divisors (696705360).

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

328229040 is a wasteful number, since it uses less digits than its factorization.

328229040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9994 (or 9988 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 328229040 is about 18117.0924819630. The cubic root of 328229040 is about 689.8039350513.

The spelling of 328229040 in words is "three hundred twenty-eight million, two hundred twenty-nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 139 240 278 417 556 695 834 1112 1390 1668 2085 2224 2780 3336 4170 5560 6672 8340 9839 11120 16680 19678 29517 33360 39356 49195 59034 78712 98390 118068 147585 157424 196780 236136 295170 393560 472272 590340 787120 1180680 1367621 2361360 2735242 4102863 5470484 6838105 8205726 10940968 13676210 16411452 20514315 21881936 27352420 32822904 41028630 54704840 65645808 82057260 109409680 164114520 328229040