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3430000439976 = 23311231097514939
BaseRepresentation
bin110001111010011011111…
…101010011001010101000
3110010220102121221220100110
4301322123331103022220
5422144120103034401
611143415341134320
7502544415455505
oct61723375231250
913126377856313
103430000439976
111102722912720
1247491025a3a0
131bb5a8658676
14bc0275ba4ac
155e34ed019d6
hex31e9bf532a8

3430000439976 has 128 divisors (see below), whose sum is σ = 9770183193600. Its totient is φ = 993294804480.

The previous prime is 3430000439963. The next prime is 3430000439977. The reversal of 3430000439976 is 6799340000343.

It is not an unprimeable number, because it can be changed into a prime (3430000439977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6403515 + ... + 6918453.

It is an arithmetic number, because the mean of its divisors is an integer number (76329556200).

Almost surely, 23430000439976 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3430000439976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4885091596800).

3430000439976 is an abundant number, since it is smaller than the sum of its proper divisors (6340182753624).

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

3430000439976 is a wasteful number, since it uses less digits than its factorization.

3430000439976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516079 (or 516075 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 48.

The spelling of 3430000439976 in words is "three trillion, four hundred thirty billion, four hundred thirty-nine thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 11 12 22 23 24 33 44 46 66 69 88 92 132 138 184 253 264 276 506 552 759 1012 1097 1518 2024 2194 3036 3291 4388 6072 6582 8776 12067 13164 24134 25231 26328 36201 48268 50462 72402 75693 96536 100924 144804 151386 201848 277541 289608 302772 514939 555082 605544 832623 1029878 1110164 1544817 1665246 2059756 2220328 3089634 3330492 4119512 5664329 6179268 6660984 11328658 11843597 12358536 16992987 22657316 23687194 33985974 35530791 45314632 47374388 67971948 71061582 94748776 130279567 135943896 142123164 260559134 284246328 390838701 521118268 564888083 781677402 1042236536 1129776166 1563354804 1694664249 2259552332 3126709608 3389328498 4519104664 6213768913 6778656996 12427537826 12992425909 13557313992 18641306739 24855075652 25984851818 37282613478 38977277727 49710151304 51969703636 74565226956 77954555454 103939407272 142916684999 149130453912 155909110908 285833369998 311818221816 428750054997 571666739996 857500109994 1143333479992 1715000219988 3430000439976