Search a number
-
+
328715712 = 26331314633
BaseRepresentation
bin10011100101111…
…100110111000000
3211220112111012000
4103211330313000
51133122400322
652341304000
711101015563
oct2345746700
9756474160
10328715712
11159607a86
1292105000
1353143350
143192a4da
151dcd23ac
hex1397cdc0

328715712 has 112 divisors (see below), whose sum is σ = 1040770080. Its totient is φ = 101136384.

The previous prime is 328715707. The next prime is 328715731. The reversal of 328715712 is 217517823.

328715712 is a `hidden beast` number, since 3 + 2 + 87 + 1 + 571 + 2 = 666.

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

It is a congruent number.

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, 15148 + ... + 29780.

It is an arithmetic number, because the mean of its divisors is an integer number (9292590).

Almost surely, 2328715712 is an apocalyptic number.

328715712 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 328715712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520385040).

328715712 is an abundant number, since it is smaller than the sum of its proper divisors (712054368).

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

328715712 is a wasteful number, since it uses less digits than its factorization.

328715712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14667 (or 14651 counting only the distinct ones).

The product of its digits is 23520, while the sum is 36.

The square root of 328715712 is about 18130.5188011816. The cubic root of 328715712 is about 690.1446955526.

It can be divided in two parts, 32871 and 5712, that added together give a palindrome (38583).

The spelling of 328715712 in words is "three hundred twenty-eight million, seven hundred fifteen thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 144 156 192 208 216 234 288 312 351 416 432 468 576 624 702 832 864 936 1248 1404 1728 1872 2496 2808 3744 5616 7488 11232 14633 22464 29266 43899 58532 87798 117064 131697 175596 190229 234128 263394 351192 380458 395091 468256 526788 570687 702384 760916 790182 936512 1053576 1141374 1404768 1521832 1580364 1712061 2107152 2282748 2809536 3043664 3160728 3424122 4214304 4565496 5136183 6087328 6321456 6848244 8428608 9130992 10272366 12174656 12642912 13696488 18261984 20544732 25285824 27392976 36523968 41089464 54785952 82178928 109571904 164357856 328715712