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345180825 = 33521146489
BaseRepresentation
bin10100100100110…
…000101010011001
3220001112000002000
4110210300222121
51201331241300
654130231213
711360663043
oct2444605231
9801460060
10345180825
11167933510
1297725509
1356689812
1433bb4a93
1520485c00
hex14930a99

345180825 has 48 divisors (see below), whose sum is σ = 691771200. Its totient is φ = 167356800.

The previous prime is 345180811. The next prime is 345180827. The reversal of 345180825 is 528081543.

It is a happy number.

It is not a de Polignac number, because 345180825 - 28 = 345180569 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 345180825.

It is not an unprimeable number, because it can be changed into a prime (345180827) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15820 + ... + 30669.

It is an arithmetic number, because the mean of its divisors is an integer number (14411900).

Almost surely, 2345180825 is an apocalyptic number.

It is an amenable number.

345180825 is an abundant number, since it is smaller than the sum of its proper divisors (346590375).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

345180825 is a wasteful number, since it uses less digits than its factorization.

345180825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46519 (or 46508 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 345180825 is about 18579.0426287255. The cubic root of 345180825 is about 701.4804212900.

The spelling of 345180825 in words is "three hundred forty-five million, one hundred eighty thousand, eight hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 27 33 45 55 75 99 135 165 225 275 297 495 675 825 1485 2475 7425 46489 139467 232445 418401 511379 697335 1162225 1255203 1534137 2092005 2556895 3486675 4602411 6276015 7670685 10460025 12784475 13807233 23012055 31380075 38353425 69036165 115060275 345180825