Search a number
-
+
1338863253 = 371319258119
BaseRepresentation
bin100111111001101…
…0110111010010101
310110022022022002220
41033303112322111
510220222111003
6340504252553
745115102260
oct11763267225
93408268086
101338863253
11627831862
12314471159
131844c42a0
14c9b59cd7
157c81a353
hex4fcd6e95

1338863253 has 32 divisors (see below), whose sum is σ = 2312755200. Its totient is φ = 669041856.

The previous prime is 1338863249. The next prime is 1338863261. The reversal of 1338863253 is 3523688331.

It is a happy number.

It is not a de Polignac number, because 1338863253 - 22 = 1338863249 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1338863243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 123873 + ... + 134246.

It is an arithmetic number, because the mean of its divisors is an integer number (72273600).

Almost surely, 21338863253 is an apocalyptic number.

1338863253 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1338863253 is a deficient number, since it is larger than the sum of its proper divisors (973891947).

1338863253 is a wasteful number, since it uses less digits than its factorization.

1338863253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258161.

The product of its digits is 311040, while the sum is 42.

The square root of 1338863253 is about 36590.4803603342. The cubic root of 1338863253 is about 1102.1619335642.

The spelling of 1338863253 in words is "one billion, three hundred thirty-eight million, eight hundred sixty-three thousand, two hundred fifty-three".

Divisors: 1 3 7 13 19 21 39 57 91 133 247 273 399 741 1729 5187 258119 774357 1806833 3355547 4904261 5420499 10066641 14712783 23488829 34329827 63755393 70466487 102989481 191266179 446287751 1338863253