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345366405 = 3257674809
BaseRepresentation
bin10100100101011…
…101111110000101
3220001212102122100
4110211131332011
51201403211110
654134222313
711362365066
oct2445357605
9801772570
10345366405
11167a4a98a
12977b4999
1356723127
1433c2256d
15204c0bc0
hex1495df85

345366405 has 12 divisors (see below), whose sum is σ = 598635180. Its totient is φ = 184195392.

The previous prime is 345366397. The next prime is 345366409. The reversal of 345366405 is 504663543.

345366405 is a `hidden beast` number, since 3 + 4 + 5 + 3 + 6 + 640 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 258373476 + 86992929 = 16074^2 + 9327^2 .

It is not a de Polignac number, because 345366405 - 23 = 345366397 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 345366405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345366409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3837360 + ... + 3837449.

It is an arithmetic number, because the mean of its divisors is an integer number (49886265).

Almost surely, 2345366405 is an apocalyptic number.

It is an amenable number.

345366405 is a deficient number, since it is larger than the sum of its proper divisors (253268775).

345366405 is a wasteful number, since it uses less digits than its factorization.

345366405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7674820 (or 7674817 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The square root of 345366405 is about 18584.0362946266. The cubic root of 345366405 is about 701.6061113674.

The spelling of 345366405 in words is "three hundred forty-five million, three hundred sixty-six thousand, four hundred five".

Divisors: 1 3 5 9 15 45 7674809 23024427 38374045 69073281 115122135 345366405