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345132063 = 3360121269
BaseRepresentation
bin10100100100100…
…100110000011111
3220001102112012000
4110210210300133
51201323211223
654125213343
711360400633
oct2444446037
9801375160
10345132063
111678aa911
1297701253
1356670573
1433ba0dc3
1520476543
hex14924c1f

345132063 has 16 divisors (see below), whose sum is σ = 512181600. Its totient is φ = 229694400.

The previous prime is 345132037. The next prime is 345132077. The reversal of 345132063 is 360231543.

It is a happy number.

345132063 is a `hidden beast` number, since 3 + 451 + 3 + 206 + 3 = 666.

It is not a de Polignac number, because 345132063 - 26 = 345131999 is a prime.

It is a super-3 number, since 3×3451320633 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345132023) 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 15 ways as a sum of consecutive naturals, for example, 5593 + ... + 26861.

It is an arithmetic number, because the mean of its divisors is an integer number (32011350).

Almost surely, 2345132063 is an apocalyptic number.

345132063 is a deficient number, since it is larger than the sum of its proper divisors (167049537).

345132063 is a wasteful number, since it uses less digits than its factorization.

345132063 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21879 (or 21873 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 345132063 is about 18577.7302973210. The cubic root of 345132063 is about 701.4473881698.

The spelling of 345132063 in words is "three hundred forty-five million, one hundred thirty-two thousand, sixty-three".

Divisors: 1 3 9 27 601 1803 5409 16227 21269 63807 191421 574263 12782669 38348007 115044021 345132063