Search a number
-
+
330704496 = 243267151227
BaseRepresentation
bin10011101101100…
…010011001110000
3212001021112021200
4103231202121300
51134130020441
652452051200
711123641023
oct2355423160
9761245250
10330704496
1115a746201
1292903b00
135368b645
1431cc71ba
151e0767b6
hex13b62670

330704496 has 120 divisors (see below), whose sum is σ = 949713024. Its totient is φ = 107395200.

The previous prime is 330704489. The next prime is 330704501. The reversal of 330704496 is 694407033.

330704496 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3307044962 = 218730927349228032, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 330704496.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1456735 + ... + 1456961.

Almost surely, 2330704496 is an apocalyptic number.

330704496 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 330704496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474856512).

330704496 is an abundant number, since it is smaller than the sum of its proper divisors (619008528).

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

330704496 is a wasteful number, since it uses less digits than its factorization.

330704496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 330704496 is about 18185.2824008867. The cubic root of 330704496 is about 691.5337275707.

The spelling of 330704496 in words is "three hundred thirty million, seven hundred four thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 67 72 134 144 151 201 227 268 302 402 453 454 536 603 604 681 804 906 908 1072 1206 1208 1359 1362 1608 1812 1816 2043 2412 2416 2718 2724 3216 3624 3632 4086 4824 5436 5448 7248 8172 9648 10117 10872 10896 15209 16344 20234 21744 30351 30418 32688 34277 40468 45627 60702 60836 68554 80936 91053 91254 102831 121404 121672 136881 137108 161872 182106 182508 205662 242808 243344 273762 274216 308493 364212 365016 411324 485616 547524 548432 616986 728424 730032 822648 1095048 1233972 1456848 1645296 2190096 2296559 2467944 4593118 4935888 6889677 9186236 13779354 18372472 20669031 27558708 36744944 41338062 55117416 82676124 110234832 165352248 330704496