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1331349376 = 2774136241
BaseRepresentation
bin100111101011010…
…1100011110000000
310102210011120000011
41033112230132000
510211311140001
6340035234304
744664166030
oct11726543600
93383146004
101331349376
1162356a545
12311a48994
13182a931c6
14c8b618c0
157bd33d51
hex4f5ac780

1331349376 has 64 divisors (see below), whose sum is σ = 3105214560. Its totient is φ = 556646400.

The previous prime is 1331349277. The next prime is 1331349379. The reversal of 1331349376 is 6739431331.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1331349379) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18616 + ... + 54856.

Almost surely, 21331349376 is an apocalyptic number.

1331349376 is a gapful number since it is divisible by the number (16) 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 1331349376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1552607280).

1331349376 is an abundant number, since it is smaller than the sum of its proper divisors (1773865184).

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

1331349376 is an equidigital number, since it uses as much as digits as its factorization.

1331349376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36303 (or 36291 counting only the distinct ones).

The product of its digits is 122472, while the sum is 40.

The square root of 1331349376 is about 36487.6605991669. The cubic root of 1331349376 is about 1100.0962384119.

The spelling of 1331349376 in words is "one billion, three hundred thirty-one million, three hundred forty-nine thousand, three hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 32 41 56 64 82 112 128 164 224 287 328 448 574 656 896 1148 1312 2296 2624 4592 5248 9184 18368 36241 36736 72482 144964 253687 289928 507374 579856 1014748 1159712 1485881 2029496 2319424 2971762 4058992 4638848 5943524 8117984 10401167 11887048 16235968 20802334 23774096 32471936 41604668 47548192 83209336 95096384 166418672 190192768 332837344 665674688 1331349376