Search a number
-
+
34101166734 = 23241239193337
BaseRepresentation
bin11111110000100101…
…101000001010001110
310021000120100202111100
4133300211220022032
51024314344313414
623355454203530
72315026064115
oct376045501216
9107016322440
1034101166734
111350a246328
1267384b35a6
1332a5c4838b
141916db4c7c
15d48bd4609
hex7f096828e

34101166734 has 48 divisors (see below), whose sum is σ = 76005034560. Its totient is φ = 11043352320.

The previous prime is 34101166721. The next prime is 34101166739. The reversal of 34101166734 is 43766110143.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34101166739) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79714 + ... + 273050.

It is an arithmetic number, because the mean of its divisors is an integer number (1583438220).

Almost surely, 234101166734 is an apocalyptic number.

34101166734 is an abundant number, since it is smaller than the sum of its proper divisors (41903867826).

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

34101166734 is a wasteful number, since it uses less digits than its factorization.

34101166734 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193625 (or 193622 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

Adding to 34101166734 its reverse (43766110143), we get a palindrome (77867276877).

The spelling of 34101166734 in words is "thirty-four billion, one hundred one million, one hundred sixty-six thousand, seven hundred thirty-four".

Divisors: 1 2 3 6 9 18 41 82 123 239 246 369 478 717 738 1434 2151 4302 9799 19598 29397 58794 88191 176382 193337 386674 580011 1160022 1740033 3480066 7926817 15853634 23780451 46207543 47560902 71341353 92415086 138622629 142682706 277245258 415867887 831735774 1894509263 3789018526 5683527789 11367055578 17050583367 34101166734