Search a number
-
+
34200041309 = 7314112133169
BaseRepresentation
bin11111110110011110…
…110011011101011101
310021021110102002220122
4133312132303131131
51030020202310214
623413345324325
72320336361150
oct376636633535
9107243362818
1034200041309
1113560039255
1267656366a5
1332c0586845
141926191c97
15d5271588e
hex7f67b375d

34200041309 has 32 divisors (see below), whose sum is σ = 41377781760. Its totient is φ = 27645235200.

The previous prime is 34200041299. The next prime is 34200041311. The reversal of 34200041309 is 90314000243.

It is a cyclic number.

It is not a de Polignac number, because 34200041309 - 28 = 34200041053 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34200041339) 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, 10790477 + ... + 10793645.

It is an arithmetic number, because the mean of its divisors is an integer number (1293055680).

Almost surely, 234200041309 is an apocalyptic number.

It is an amenable number.

34200041309 is a deficient number, since it is larger than the sum of its proper divisors (7177740451).

34200041309 is a wasteful number, since it uses less digits than its factorization.

34200041309 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4461.

The product of its (nonzero) digits is 2592, while the sum is 26.

The spelling of 34200041309 in words is "thirty-four billion, two hundred million, forty-one thousand, three hundred nine".

Divisors: 1 7 31 41 217 287 1213 1271 3169 8491 8897 22183 37603 49733 98239 129929 263221 348131 687673 909503 1541723 3843997 4027799 10792061 26907979 28194593 119163907 157603877 834147349 1103227139 4885720187 34200041309