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330574640 = 24511596367
BaseRepresentation
bin10011101101000…
…010101100110000
3212001000221011012
4103231002230300
51134111342030
652445210052
711122560314
oct2355025460
9761027135
10330574640
1115a667690
1292860928
13536444c6
1431c91b44
151e04d095
hex13b42b30

330574640 has 80 divisors (see below), whose sum is σ = 852802560. Its totient is φ = 118152960.

The previous prime is 330574603. The next prime is 330574661. The reversal of 330574640 is 46475033.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×3305746402 = 218559185222259200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 330574597 and 330574606.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48737 + ... + 55103.

It is an arithmetic number, because the mean of its divisors is an integer number (10660032).

Almost surely, 2330574640 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 330574640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426401280).

330574640 is an abundant number, since it is smaller than the sum of its proper divisors (522227920).

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

330574640 is a wasteful number, since it uses less digits than its factorization.

330574640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6450 (or 6444 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 32.

The square root of 330574640 is about 18181.7116905972. The cubic root of 330574640 is about 691.4432020803.

The spelling of 330574640 in words is "three hundred thirty million, five hundred seventy-four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 59 80 88 110 118 176 220 236 295 440 472 590 649 880 944 1180 1298 2360 2596 3245 4720 5192 6367 6490 10384 12734 12980 25468 25960 31835 50936 51920 63670 70037 101872 127340 140074 254680 280148 350185 375653 509360 560296 700370 751306 1120592 1400740 1502612 1878265 2801480 3005224 3756530 4132183 5602960 6010448 7513060 8264366 15026120 16528732 20660915 30052240 33057464 41321830 66114928 82643660 165287320 330574640