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330439968 = 253210710723
BaseRepresentation
bin10011101100100…
…001110100100000
3212000210002102100
4103230201310200
51134043034333
652442250400
711121456555
oct2354416440
9760702370
10330439968
1115a585491
12927b6a00
13535c8111
1431c58a2c
151e023213
hex13b21d20

330439968 has 72 divisors (see below), whose sum is σ = 948559248. Its totient is φ = 109107072.

The previous prime is 330439937. The next prime is 330439973. The reversal of 330439968 is 869934033.

It is a tau number, because it is divible by the number of its divisors (72).

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, 25455 + ... + 36177.

It is an arithmetic number, because the mean of its divisors is an integer number (13174434).

Almost surely, 2330439968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 330439968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474279624).

330439968 is an abundant number, since it is smaller than the sum of its proper divisors (618119280).

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

330439968 is a wasteful number, since it uses less digits than its factorization.

330439968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10846 (or 10835 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The square root of 330439968 is about 18178.0078116388. The cubic root of 330439968 is about 691.3492942044.

The spelling of 330439968 in words is "three hundred thirty million, four hundred thirty-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 107 144 214 288 321 428 642 856 963 1284 1712 1926 2568 3424 3852 5136 7704 10272 10723 15408 21446 30816 32169 42892 64338 85784 96507 128676 171568 193014 257352 343136 386028 514704 772056 1029408 1147361 1544112 2294722 3088224 3442083 4589444 6884166 9178888 10326249 13768332 18357776 20652498 27536664 36715552 41304996 55073328 82609992 110146656 165219984 330439968