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3430642145 = 572291134273
BaseRepresentation
bin1100110001111011…
…0111000111100001
322212002100200022012
43030132313013201
524011221022040
61324230322305
7151004656100
oct31436670741
98762320265
103430642145
111500565247
127b8ab9395
13428994188
142478a6037
151512ab865
hexcc7b71e1

3430642145 has 48 divisors (see below), whose sum is σ = 4999041360. Its totient is φ = 2250694656.

The previous prime is 3430642121. The next prime is 3430642153. The reversal of 3430642145 is 5412460343.

It can be written as a sum of positive squares in 8 ways, for example, as 799362529 + 2631279616 = 28273^2 + 51296^2 .

It is not a de Polignac number, because 3430642145 - 222 = 3426447841 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 800729 + ... + 805001.

It is an arithmetic number, because the mean of its divisors is an integer number (104146695).

Almost surely, 23430642145 is an apocalyptic number.

3430642145 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3430642145 is a deficient number, since it is larger than the sum of its proper divisors (1568399215).

3430642145 is a wasteful number, since it uses less digits than its factorization.

3430642145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4434 (or 4427 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 32.

The square root of 3430642145 is about 58571.6838156459. The cubic root of 3430642145 is about 1508.1983900385.

The spelling of 3430642145 in words is "three billion, four hundred thirty million, six hundred forty-two thousand, one hundred forty-five".

Divisors: 1 5 7 29 35 49 113 145 203 245 565 791 1015 1421 3277 3955 4273 5537 7105 16385 21365 22939 27685 29911 114695 123917 149555 160573 209377 482849 619585 802865 867419 1046885 2414245 3379943 4337095 6071933 14002621 16899715 23659601 30359665 70013105 98018347 118298005 490091735 686128429 3430642145