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330608640 = 212355381
BaseRepresentation
bin10011101101001…
…011000000000000
3212001002122210110
4103231023000000
51134113434030
652450031320
711123061405
oct2355130000
9761078713
10330608640
1115a69018a
1292878540
1353656b1b
1431ca02ac
151e0581b0
hex13b4b000

330608640 has 104 divisors (see below), whose sum is σ = 1058015088. Its totient is φ = 88145920.

The previous prime is 330608633. The next prime is 330608651. The reversal of 330608640 is 46806033.

330608640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 330608598 and 330608607.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58750 + ... + 64130.

It is an arithmetic number, because the mean of its divisors is an integer number (10173222).

Almost surely, 2330608640 is an apocalyptic number.

330608640 is a gapful number since it is divisible by the number (30) 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 330608640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529007544).

330608640 is an abundant number, since it is smaller than the sum of its proper divisors (727406448).

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

330608640 is an equidigital number, since it uses as much as digits as its factorization.

330608640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5413 (or 5391 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 330608640 is about 18182.6466720332. The cubic root of 330608640 is about 691.4669065231.

The spelling of 330608640 in words is "three hundred thirty million, six hundred eight thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1024 1280 1536 1920 2048 2560 3072 3840 4096 5120 5381 6144 7680 10240 10762 12288 15360 16143 20480 21524 26905 30720 32286 43048 53810 61440 64572 80715 86096 107620 129144 161430 172192 215240 258288 322860 344384 430480 516576 645720 688768 860960 1033152 1291440 1377536 1721920 2066304 2582880 2755072 3443840 4132608 5165760 5510144 6887680 8265216 10331520 11020288 13775360 16530432 20663040 22040576 27550720 33060864 41326080 55101440 66121728 82652160 110202880 165304320 330608640