Search a number
-
+
1304943376 = 241128212
BaseRepresentation
bin100110111000111…
…1101101100010000
310100221110222210011
41031301331230100
510133031142001
6333253244304
744223556432
oct11561755420
93327428704
101304943376
1160a674300
12305033694
1317a479059
14c544a652
1579869d51
hex4dc7db10

1304943376 has 45 divisors (see below), whose sum is σ = 2782460149. Its totient is φ = 592433600.

The previous prime is 1304943373. The next prime is 1304943379. The reversal of 1304943376 is 6733494031.

It is a happy number.

The square root of 1304943376 is 36124.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (1304943373) and next prime (1304943379).

It can be written as a sum of positive squares in only one way, i.e., 356303376 + 948640000 = 18876^2 + 30800^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1304943371) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1589046 + ... + 1589866.

Almost surely, 21304943376 is an apocalyptic number.

1304943376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1304943376 is the 36124-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1304943376

1304943376 is an abundant number, since it is smaller than the sum of its proper divisors (1477516773).

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

1304943376 is an frugal number, since it uses more digits than its factorization.

1304943376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1672 (or 834 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 40.

The cubic root of 1304943376 is about 1092.7745090223.

The spelling of 1304943376 in words is "one billion, three hundred four million, nine hundred forty-three thousand, three hundred seventy-six".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 821 968 1642 1936 3284 6568 9031 13136 18062 36124 72248 99341 144496 198682 397364 674041 794728 1348082 1589456 2696164 5392328 7414451 10784656 14828902 29657804 59315608 81558961 118631216 163117922 326235844 652471688 1304943376