Search a number
-
+
13880349 = 3372712
BaseRepresentation
bin110100111100…
…110000011101
3222010012021000
4310330300131
512023132344
61213300513
7225660330
oct64746035
928105230
1013880349
11792056a
124794739
132b4cb32
141bb4617
151342a69
hexd3cc1d

13880349 has 24 divisors (see below), whose sum is σ = 23588160. Its totient is φ = 7902360.

The previous prime is 13880327. The next prime is 13880371. The reversal of 13880349 is 94308831.

It is an interprime number because it is at equal distance from previous prime (13880327) and next prime (13880371).

It is not a de Polignac number, because 13880349 - 212 = 13876253 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13880149) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 51084 + ... + 51354.

It is an arithmetic number, because the mean of its divisors is an integer number (982840).

Almost surely, 213880349 is an apocalyptic number.

It is an amenable number.

13880349 is a deficient number, since it is larger than the sum of its proper divisors (9707811).

13880349 is an frugal number, since it uses more digits than its factorization.

13880349 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 13880349 is about 3725.6340399991. The cubic root of 13880349 is about 240.3256516792.

The spelling of 13880349 in words is "thirteen million, eight hundred eighty thousand, three hundred forty-nine".

Divisors: 1 3 7 9 21 27 63 189 271 813 1897 2439 5691 7317 17073 51219 73441 220323 514087 660969 1542261 1982907 4626783 13880349