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330683730 = 235137910733
BaseRepresentation
bin10011101101011…
…101010101010010
3212001020110210120
4103231131111102
51134123334410
652451411110
711123523336
oct2355352522
9761213716
10330683730
1115a731643
12928b3a96
1353682060
1431cbd7c6
151e070570
hex13b5d552

330683730 has 64 divisors (see below), whose sum is σ = 865589760. Its totient is φ = 80361216.

The previous prime is 330683729. The next prime is 330683741. The reversal of 330683730 is 37386033.

It is a super-3 number, since 3×3306837303 (a number of 27 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 330683691 and 330683700.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25444 + ... + 36176.

It is an arithmetic number, because the mean of its divisors is an integer number (13524840).

Almost surely, 2330683730 is an apocalyptic number.

330683730 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 330683730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432794880).

330683730 is an abundant number, since it is smaller than the sum of its proper divisors (534906030).

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

330683730 is a wasteful number, since it uses less digits than its factorization.

330683730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10835.

The product of its (nonzero) digits is 27216, while the sum is 33.

The square root of 330683730 is about 18184.7114357088. The cubic root of 330683730 is about 691.5192527247.

The spelling of 330683730 in words is "three hundred thirty million, six hundred eighty-three thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 79 130 158 195 237 390 395 474 790 1027 1185 2054 2370 3081 5135 6162 10270 10733 15405 21466 30810 32199 53665 64398 107330 139529 160995 279058 321990 418587 697645 837174 847907 1395290 1695814 2092935 2543721 4185870 4239535 5087442 8479070 11022791 12718605 22045582 25437210 33068373 55113955 66136746 110227910 165341865 330683730