Search a number
-
+
34668034642240 = 265503215382919
BaseRepresentation
bin1111110000111110001111…
…11000111101000101000000
311112202020020221102102202221
413320133013320331011000
514021000113332022430
6201422135242020424
710205453134230106
oct770370770750500
9145666227372687
1034668034642240
11100566a384197a
123a7aa927a7714
1316462490a442c
1487bd28547c76
15401bdd8e457a
hex1f87c7e3d140

34668034642240 has 56 divisors (see below), whose sum is σ = 82717379660160. Its totient is φ = 13839644779008.

The previous prime is 34668034642229. The next prime is 34668034642243. The reversal of 34668034642240 is 4224643086643.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34668034642243) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 107530500 + ... + 107852419.

It is an arithmetic number, because the mean of its divisors is an integer number (1477096065360).

Almost surely, 234668034642240 is an apocalyptic number.

It is an amenable number.

34668034642240 is an abundant number, since it is smaller than the sum of its proper divisors (48049345017920).

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

34668034642240 is a wasteful number, since it uses less digits than its factorization.

34668034642240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215383439 (or 215383429 counting only the distinct ones).

The product of its (nonzero) digits is 15925248, while the sum is 52.

The spelling of 34668034642240 in words is "thirty-four trillion, six hundred sixty-eight billion, thirty-four million, six hundred forty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 503 1006 2012 2515 4024 5030 8048 10060 16096 20120 32192 40240 80480 160960 215382919 430765838 861531676 1076914595 1723063352 2153829190 3446126704 4307658380 6892253408 8615316760 13784506816 17230633520 34461267040 68922534080 108337608257 216675216514 433350433028 541688041285 866700866056 1083376082570 1733401732112 2166752165140 3466803464224 4333504330280 6933606928448 8667008660560 17334017321120 34668034642240