Search a number
-
+
1349419305 = 351331223229
BaseRepresentation
bin101000001101110…
…1000000100101001
310111001011121021210
41100123220010221
510230422404210
6341522423333
745303606033
oct12033500451
93431147253
101349419305
11632791773
12317b01b49
1318674bc80
14cb306c53
157d702e20
hex506e8129

1349419305 has 32 divisors (see below), whose sum is σ = 2400168960. Its totient is φ = 642896640.

The previous prime is 1349419301. The next prime is 1349419307. The reversal of 1349419305 is 5039149431.

It is a happy number.

It is not a de Polignac number, because 1349419305 - 22 = 1349419301 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (1349419301) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 105570 + ... + 117659.

It is an arithmetic number, because the mean of its divisors is an integer number (75005280).

Almost surely, 21349419305 is an apocalyptic number.

1349419305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1349419305 is a deficient number, since it is larger than the sum of its proper divisors (1050749655).

1349419305 is a wasteful number, since it uses less digits than its factorization.

1349419305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223281.

The product of its (nonzero) digits is 58320, while the sum is 39.

The square root of 1349419305 is about 36734.4430337524. The cubic root of 1349419305 is about 1105.0509602973.

The spelling of 1349419305 in words is "one billion, three hundred forty-nine million, four hundred nineteen thousand, three hundred five".

Divisors: 1 3 5 13 15 31 39 65 93 155 195 403 465 1209 2015 6045 223229 669687 1116145 2901977 3348435 6920099 8705931 14509885 20760297 34600495 43529655 89961287 103801485 269883861 449806435 1349419305