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345311712 = 25321198999
BaseRepresentation
bin10100100101010…
…000100111100000
3220001202122121200
4110211100213200
51201344433322
654133121200
711362046454
oct2445204740
9801678550
10345311712
11167a12889
1297789200
1356704275
1433c0a664
15204ae8ac
hex149509e0

345311712 has 36 divisors (see below), whose sum is σ = 981981000. Its totient is φ = 115103808.

The previous prime is 345311711. The next prime is 345311737. The reversal of 345311712 is 217113543.

345311712 is a `hidden beast` number, since 345 + 311 + 7 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345311711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 599212 + ... + 599787.

It is an arithmetic number, because the mean of its divisors is an integer number (27277250).

Almost surely, 2345311712 is an apocalyptic number.

345311712 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

345311712 is an abundant number, since it is smaller than the sum of its proper divisors (636669288).

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

345311712 is a wasteful number, since it uses less digits than its factorization.

345311712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1199015 (or 1199004 counting only the distinct ones).

The product of its digits is 2520, while the sum is 27.

The square root of 345311712 is about 18582.5647314896. The cubic root of 345311712 is about 701.5690734387.

The spelling of 345311712 in words is "three hundred forty-five million, three hundred eleven thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 1198999 2397998 3596997 4795996 7193994 9591992 10790991 14387988 19183984 21581982 28775976 38367968 43163964 57551952 86327928 115103904 172655856 345311712