Search a number
-
+
34346037693 = 31137197142789
BaseRepresentation
bin11111111111001011…
…101111000110111101
310021122122010111022010
4133333023233012331
51030320041201233
623440042441433
72324061334452
oct377713570675
9107578114263
1034346037693
1113625496520
1267a6503279
1333148b3336
14193b717829
15d60453b63
hex7ff2ef1bd

34346037693 has 32 divisors (see below), whose sum is σ = 51568894080. Its totient is φ = 20150242560.

The previous prime is 34346037659. The next prime is 34346037773. The reversal of 34346037693 is 39673064343.

It is not a de Polignac number, because 34346037693 - 212 = 34346033597 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34346037493) 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, 169143 + ... + 311931.

It is an arithmetic number, because the mean of its divisors is an integer number (1611527940).

Almost surely, 234346037693 is an apocalyptic number.

34346037693 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

34346037693 is a deficient number, since it is larger than the sum of its proper divisors (17222856387).

34346037693 is a wasteful number, since it uses less digits than its factorization.

34346037693 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143037.

The product of its (nonzero) digits is 2939328, while the sum is 48.

The spelling of 34346037693 in words is "thirty-four billion, three hundred forty-six million, thirty-seven thousand, six hundred ninety-three".

Divisors: 1 3 11 33 37 111 197 407 591 1221 2167 6501 7289 21867 80179 142789 240537 428367 1570679 4712037 5283193 15849579 28129433 58115123 84388299 174345369 309423763 928271289 1040789021 3122367063 11448679231 34346037693