Search a number
-
+
330713856 = 28321113049
BaseRepresentation
bin10011101101100…
…100101100000000
3212001022000010100
4103231210230000
51134130320411
652452202400
711124010224
oct2355445400
9761260110
10330713856
1115a752240
1292909400
1353692995
1431cca784
151e079456
hex13b64b00

330713856 has 108 divisors (see below), whose sum is σ = 1040293800. Its totient is φ = 100208640.

The previous prime is 330713843. The next prime is 330713891. The reversal of 330713856 is 658317033.

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

It is a self number, because there is not a number n which added to its sum of digits gives 330713856.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18820 + ... + 31868.

It is an arithmetic number, because the mean of its divisors is an integer number (9632350).

Almost surely, 2330713856 is an apocalyptic number.

330713856 is a gapful number since it is divisible by the number (36) 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 330713856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520146900).

330713856 is an abundant number, since it is smaller than the sum of its proper divisors (709579944).

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

330713856 is a wasteful number, since it uses less digits than its factorization.

330713856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13082 (or 13065 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 330713856 is about 18185.5397500322. The cubic root of 330713856 is about 691.5402517181.

The spelling of 330713856 in words is "three hundred thirty million, seven hundred thirteen thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 256 264 288 352 384 396 528 576 704 768 792 1056 1152 1408 1584 2112 2304 2816 3168 4224 6336 8448 12672 13049 25344 26098 39147 52196 78294 104392 117441 143539 156588 208784 234882 287078 313176 417568 430617 469764 574156 626352 835136 861234 939528 1148312 1252704 1291851 1670272 1722468 1879056 2296624 2505408 2583702 3340544 3444936 3758112 4593248 5010816 5167404 6889872 7516224 9186496 10021632 10334808 13779744 15032448 18372992 20669616 27559488 30064896 36745984 41339232 55118976 82678464 110237952 165356928 330713856