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345120321 = 37131264177
BaseRepresentation
bin10100100100100…
…001111001000001
3220001101221002010
4110210201321001
51201322322241
654125043133
711360321460
oct2444417101
9801357063
10345120321
111678a2007
12976b64a9
1356668110
1433b9a9d7
1520472d16
hex14921e41

345120321 has 16 divisors (see below), whose sum is σ = 566351744. Its totient is φ = 182041344.

The previous prime is 345120319. The next prime is 345120331. The reversal of 345120321 is 123021543.

It is not a de Polignac number, because 345120321 - 21 = 345120319 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (345120311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 631816 + ... + 632361.

It is an arithmetic number, because the mean of its divisors is an integer number (35396984).

Almost surely, 2345120321 is an apocalyptic number.

It is an amenable number.

345120321 is a deficient number, since it is larger than the sum of its proper divisors (221231423).

345120321 is a wasteful number, since it uses less digits than its factorization.

345120321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1264200.

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 345120321 is about 18577.4142710981. The cubic root of 345120321 is about 701.4394332548.

Adding to 345120321 its reverse (123021543), we get a palindrome (468141864).

The spelling of 345120321 in words is "three hundred forty-five million, one hundred twenty thousand, three hundred twenty-one".

Divisors: 1 3 7 13 21 39 91 273 1264177 3792531 8849239 16434301 26547717 49302903 115040107 345120321