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345605238 = 233112920063
BaseRepresentation
bin10100100110011…
…000010001110110
3220002022120021000
4110212120101312
51201433331423
654143304130
711364411306
oct2446302166
9802276230
10345605238
111680a3370
12978ab046
13567a7a54
1433c85606
152051b843
hex14998476

345605238 has 64 divisors (see below), whose sum is σ = 866764800. Its totient is φ = 101112480.

The previous prime is 345605237. The next prime is 345605243. The reversal of 345605238 is 832506543.

It is a happy number.

345605238 is a `hidden beast` number, since 3 + 45 + 605 + 2 + 3 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345605237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7195 + ... + 27257.

It is an arithmetic number, because the mean of its divisors is an integer number (13543200).

Almost surely, 2345605238 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345605238, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433382400).

345605238 is an abundant number, since it is smaller than the sum of its proper divisors (521159562).

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

345605238 is a wasteful number, since it uses less digits than its factorization.

345605238 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20114 (or 20108 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 345605238 is about 18590.4609410310. The cubic root of 345605238 is about 701.7678025247.

The spelling of 345605238 in words is "three hundred forty-five million, six hundred five thousand, two hundred thirty-eight".

Divisors: 1 2 3 6 9 11 18 22 27 29 33 54 58 66 87 99 174 198 261 297 319 522 594 638 783 957 1566 1914 2871 5742 8613 17226 20063 40126 60189 120378 180567 220693 361134 441386 541701 581827 662079 1083402 1163654 1324158 1745481 1986237 3490962 3972474 5236443 5958711 6400097 10472886 11917422 12800194 15709329 19200291 31418658 38400582 57600873 115201746 172802619 345605238