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345213570285 = 32517451259569
BaseRepresentation
bin1010000011000000101…
…01010000110011101101
31020000001112020101011100
411001200111100303231
521123444133222120
6422331112513313
733640466634453
oct5014025206355
91200045211140
10345213570285
1112344a073911
1256aa33ab839
13267270689ac
14129cbcc69d3
158ea6c37490
hex5060550ced

345213570285 has 24 divisors (see below), whose sum is σ = 633568436280. Its totient is φ = 173283674112.

The previous prime is 345213570281. The next prime is 345213570311. The reversal of 345213570285 is 582075312543.

345213570285 is a `hidden beast` number, since 3 + 4 + 52 + 1 + 3 + 570 + 28 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 62850991401 + 282362578884 = 250701^2 + 531378^2 .

It is not a de Polignac number, because 345213570285 - 22 = 345213570281 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 345213570285.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345213570281) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 225629020 + ... + 225630549.

It is an arithmetic number, because the mean of its divisors is an integer number (26398684845).

Almost surely, 2345213570285 is an apocalyptic number.

It is an amenable number.

345213570285 is a deficient number, since it is larger than the sum of its proper divisors (288354865995).

345213570285 is a wasteful number, since it uses less digits than its factorization.

345213570285 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451259597 (or 451259594 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 345213570285 in words is "three hundred forty-five billion, two hundred thirteen million, five hundred seventy thousand, two hundred eighty-five".

Divisors: 1 3 5 9 15 17 45 51 85 153 255 765 451259569 1353778707 2256297845 4061336121 6768893535 7671412673 20306680605 23014238019 38357063365 69042714057 115071190095 345213570285