Search a number
-
+
34137642660 = 22351163181971
BaseRepresentation
bin11111110010110000…
…110001011010100100
310021010002222221001120
4133302300301122210
51024403214031120
623403240053540
72315651113662
oct376260613244
9107102887046
1034137642660
111352889a220
1267487642b0
1332b0679b74
14191bb8bc32
15d4bedc140
hex7f2c316a4

34137642660 has 96 divisors (see below), whose sum is σ = 104441508864. Its totient is φ = 8262576000.

The previous prime is 34137642641. The next prime is 34137642719. The reversal of 34137642660 is 6624673143.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 375475 + ... + 457445.

It is an arithmetic number, because the mean of its divisors is an integer number (1087932384).

Almost surely, 234137642660 is an apocalyptic number.

34137642660 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34137642660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52220754432).

34137642660 is an abundant number, since it is smaller than the sum of its proper divisors (70303866204).

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

34137642660 is a wasteful number, since it uses less digits than its factorization.

34137642660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82625 (or 82623 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 42.

The spelling of 34137642660 in words is "thirty-four billion, one hundred thirty-seven million, six hundred forty-two thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 631 660 1262 1893 2524 3155 3786 6310 6941 7572 9465 12620 13882 18930 20823 27764 34705 37860 41646 69410 81971 83292 104115 138820 163942 208230 245913 327884 409855 416460 491826 819710 901681 983652 1229565 1639420 1803362 2459130 2705043 3606724 4508405 4918260 5410086 9016810 10820172 13525215 18033620 27050430 51723701 54100860 103447402 155171103 206894804 258618505 310342206 517237010 568960711 620684412 775855515 1034474020 1137921422 1551711030 1706882133 2275842844 2844803555 3103422060 3413764266 5689607110 6827528532 8534410665 11379214220 17068821330 34137642660