Search a number
-
+
34348131 = 3423103179
BaseRepresentation
bin1000001100000…
…1110001100011
32101122001210000
42003001301203
532243120011
63224111043
7564645216
oct203016143
971561700
1034348131
1118430294
12b605483
13716814c
1447c177d
153037356
hex20c1c63

34348131 has 40 divisors (see below), whose sum is σ = 54362880. Its totient is φ = 21569328.

The previous prime is 34348123. The next prime is 34348133. The reversal of 34348131 is 13184343.

It is not a de Polignac number, because 34348131 - 23 = 34348123 is a prime.

It is a super-2 number, since 2×343481312 = 2359588206386322, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 34348095 and 34348104.

It is not an unprimeable number, because it can be changed into a prime (34348133) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 191800 + ... + 191978.

It is an arithmetic number, because the mean of its divisors is an integer number (1359072).

Almost surely, 234348131 is an apocalyptic number.

34348131 is a deficient number, since it is larger than the sum of its proper divisors (20014749).

34348131 is a wasteful number, since it uses less digits than its factorization.

34348131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 308 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 34348131 is about 5860.7278558213. The cubic root of 34348131 is about 325.0631230449.

The spelling of 34348131 in words is "thirty-four million, three hundred forty-eight thousand, one hundred thirty-one".

Divisors: 1 3 9 23 27 69 81 103 179 207 309 537 621 927 1611 1863 2369 2781 4117 4833 7107 8343 12351 14499 18437 21321 37053 55311 63963 111159 165933 191889 333477 424051 497799 1272153 1493397 3816459 11449377 34348131