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330413640 = 23354336359
BaseRepresentation
bin10011101100011…
…011011001001000
3212000201202022020
4103230123121020
51134041214030
652441524440
711121320034
oct2354333110
9760652266
10330413640
1115a567727
12927a3720
13535b913b
1431c4d1c4
151e01a510
hex13b1b648

330413640 has 64 divisors (see below), whose sum is σ = 993686400. Its totient is φ = 87892992.

The previous prime is 330413563. The next prime is 330413641. The reversal of 330413640 is 46314033.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 330413640.

It is not an unprimeable number, because it can be changed into a prime (330413641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48781 + ... + 55139.

It is an arithmetic number, because the mean of its divisors is an integer number (15526350).

Almost surely, 2330413640 is an apocalyptic number.

330413640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

330413640 is an abundant number, since it is smaller than the sum of its proper divisors (663272760).

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

330413640 is a wasteful number, since it uses less digits than its factorization.

330413640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6806 (or 6802 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 330413640 is about 18177.2836254486. The cubic root of 330413640 is about 691.3309324953.

Adding to 330413640 its reverse (46314033), we get a palindrome (376727673).

The spelling of 330413640 in words is "three hundred thirty million, four hundred thirteen thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 433 866 1299 1732 2165 2598 3464 4330 5196 6359 6495 8660 10392 12718 12990 17320 19077 25436 25980 31795 38154 50872 51960 63590 76308 95385 127180 152616 190770 254360 381540 763080 2753447 5506894 8260341 11013788 13767235 16520682 22027576 27534470 33041364 41301705 55068940 66082728 82603410 110137880 165206820 330413640