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1330388512 = 25199192381
BaseRepresentation
bin100111101001100…
…0001111000100000
310102201100201221121
41033103001320200
510211034413022
6340002502024
744653054465
oct11723017040
93381321847
101330388512
11622a73642
12311664914
13182817a4b
14c899166c
157bbe42c7
hex4f4c1e20

1330388512 has 48 divisors (see below), whose sum is σ = 2761214400. Its totient is φ = 629233920.

The previous prime is 1330388503. The next prime is 1330388537. The reversal of 1330388512 is 2158830331.

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 7 ways as a sum of consecutive naturals, for example, 557562 + ... + 559942.

It is an arithmetic number, because the mean of its divisors is an integer number (57525300).

Almost surely, 21330388512 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 1330388512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1380607200).

1330388512 is an abundant number, since it is smaller than the sum of its proper divisors (1430825888).

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

1330388512 is a wasteful number, since it uses less digits than its factorization.

1330388512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3329 (or 3321 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 1330388512 is about 36474.4912507358. The cubic root of 1330388512 is about 1099.8315202019.

The spelling of 1330388512 in words is "one billion, three hundred thirty million, three hundred eighty-eight thousand, five hundred twelve".

Divisors: 1 2 4 8 16 19 32 38 76 152 304 608 919 1838 2381 3676 4762 7352 9524 14704 17461 19048 29408 34922 38096 45239 69844 76192 90478 139688 180956 279376 361912 558752 723824 1447648 2188139 4376278 8752556 17505112 35010224 41574641 70020448 83149282 166298564 332597128 665194256 1330388512