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3430000312245 = 3251324229241993
BaseRepresentation
bin110001111010011011111…
…100110011111110110101
3110010220102121201102010200
4301322123330303332311
5422144120034442440
611143415334311113
7502544414414223
oct61723374637665
913126377642120
103430000312245
111102722835761
124749101b8499
131bb5a86124a0
14bc027585b13
155e34ecc8c30
hex31e9bf33fb5

3430000312245 has 48 divisors (see below), whose sum is σ = 6402957965040. Its totient is φ = 1688538866688.

The previous prime is 3430000312243. The next prime is 3430000312247. The reversal of 3430000312245 is 5422130000343.

3430000312245 is a `hidden beast` number, since 3 + 4 + 300 + 0 + 0 + 312 + 2 + 45 = 666.

It is an interprime number because it is at equal distance from previous prime (3430000312243) and next prime (3430000312247).

It can be written as a sum of positive squares in 8 ways, for example, as 1895748967044 + 1534251345201 = 1376862^2 + 1238649^2 .

It is not a de Polignac number, because 3430000312245 - 21 = 3430000312243 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3430000312243) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14052969 + ... + 14294961.

It is an arithmetic number, because the mean of its divisors is an integer number (133394957605).

Almost surely, 23430000312245 is an apocalyptic number.

It is an amenable number.

3430000312245 is a deficient number, since it is larger than the sum of its proper divisors (2972957652795).

3430000312245 is a wasteful number, since it uses less digits than its factorization.

3430000312245 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266246 (or 266243 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 3430000312245 its reverse (5422130000343), we get a palindrome (8852130312588).

The spelling of 3430000312245 in words is "three trillion, four hundred thirty billion, three hundred twelve thousand, two hundred forty-five".

Divisors: 1 3 5 9 13 15 39 45 65 117 195 585 24229 72687 121145 218061 241993 314977 363435 725979 944931 1090305 1209965 1574885 2177937 2834793 3145909 3629895 4724655 9437727 10889685 14173965 15729545 28313181 47188635 141565905 5863248397 17589745191 29316241985 52769235573 76222229161 87948725955 228666687483 263846177865 381111145805 686000062449 1143333437415 3430000312245