Search a number
-
+
34135267746 = 23411091273039
BaseRepresentation
bin11111110010100111…
…101101100110100010
310021002221112021021210
4133302213231212202
51024402112031441
623403113130550
72315621663016
oct376247554642
9107087467253
1034135267746
1113527517988
1267479b9a56
1332b0027ba8
14191b730546
15d4bbbd616
hex7f29ed9a2

34135267746 has 32 divisors (see below), whose sum is σ = 70577337600. Its totient is φ = 10999048320.

The previous prime is 34135267729. The next prime is 34135267757. The reversal of 34135267746 is 64776253143.

It is a super-2 number, since 2×341352677462 (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 34135267695 and 34135267704.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 609706 + ... + 663333.

It is an arithmetic number, because the mean of its divisors is an integer number (2205541800).

Almost surely, 234135267746 is an apocalyptic number.

34135267746 is an abundant number, since it is smaller than the sum of its proper divisors (36442069854).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34135267746 is a wasteful number, since it uses less digits than its factorization.

34135267746 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1273194.

The product of its digits is 2540160, while the sum is 48.

The spelling of 34135267746 in words is "thirty-four billion, one hundred thirty-five million, two hundred sixty-seven thousand, seven hundred forty-six".

Divisors: 1 2 3 6 41 82 109 123 218 246 327 654 4469 8938 13407 26814 1273039 2546078 3819117 7638234 52194599 104389198 138761251 156583797 277522502 313167594 416283753 832567506 5689211291 11378422582 17067633873 34135267746