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345630286321 = 1753402195401
BaseRepresentation
bin1010000011110010010…
…10111010000111110001
31020001010120100202002121
411001321022322013301
521130322323130241
6422440320314241
733654016650145
oct5017112720761
91201116322077
10345630286321
11123643316831
1256b9aa72981
13267924b0a28
1412a2b39d225
158ecd5edad1
hex50792ba1f1

345630286321 has 16 divisors (see below), whose sum is σ = 372963052368. Its totient is φ = 319078656000.

The previous prime is 345630286301. The next prime is 345630286327. The reversal of 345630286321 is 123682036543.

It can be written as a sum of positive squares in 8 ways, for example, as 19059183025 + 326571103296 = 138055^2 + 571464^2 .

It is not a de Polignac number, because 345630286321 - 213 = 345630278129 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (345630286327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3575221 + ... + 3670621.

It is an arithmetic number, because the mean of its divisors is an integer number (23310190773).

Almost surely, 2345630286321 is an apocalyptic number.

It is an amenable number.

345630286321 is a deficient number, since it is larger than the sum of its proper divisors (27332766047).

345630286321 is a wasteful number, since it uses less digits than its factorization.

345630286321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99492.

The product of its (nonzero) digits is 622080, while the sum is 43.

The spelling of 345630286321 in words is "three hundred forty-five billion, six hundred thirty million, two hundred eighty-six thousand, three hundred twenty-one".

Divisors: 1 17 53 901 4021 68357 95401 213113 1621817 3622921 5056253 85956301 383607421 6521326157 20331193313 345630286321