Search a number
-
+
328395012 = 2231119235693
BaseRepresentation
bin10011100100101…
…110100100000100
3211212221012021020
4103210232210010
51133032120022
652330351140
711065211601
oct2344564404
9755835236
10328395012
11159409040
1291b8b4b0
135306039a
14318856a8
151dc6c35c
hex1392e904

328395012 has 96 divisors (see below), whose sum is σ = 918328320. Its totient is φ = 90161280.

The previous prime is 328395007. The next prime is 328395013. The reversal of 328395012 is 210593823.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (328395013) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54838 + ... + 60530.

It is an arithmetic number, because the mean of its divisors is an integer number (9565920).

Almost surely, 2328395012 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 328395012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459164160).

328395012 is an abundant number, since it is smaller than the sum of its proper divisors (589933308).

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

328395012 is a wasteful number, since it uses less digits than its factorization.

328395012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5753 (or 5751 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 328395012 is about 18121.6724393749. The cubic root of 328395012 is about 689.9201840043.

The spelling of 328395012 in words is "three hundred twenty-eight million, three hundred ninety-five thousand, twelve".

Divisors: 1 2 3 4 6 11 12 19 22 23 33 38 44 46 57 66 69 76 92 114 132 138 209 228 253 276 418 437 506 627 759 836 874 1012 1254 1311 1518 1748 2508 2622 3036 4807 5244 5693 9614 11386 14421 17079 19228 22772 28842 34158 57684 62623 68316 108167 125246 130939 187869 216334 250492 261878 324501 375738 392817 432668 523756 649002 751476 785634 1189837 1298004 1440329 1571268 2379674 2487841 2880658 3569511 4320987 4759348 4975682 5761316 7139022 7463523 8641974 9951364 14278044 14927046 17283948 27366251 29854092 54732502 82098753 109465004 164197506 328395012