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345141432 = 23331597877
BaseRepresentation
bin10100100100100…
…111000010111000
3220001110000001000
4110210213002320
51201324011212
654125325000
711360440146
oct2444470270
9801400030
10345141432
11167906959
1297706760
13566748cc
1433ba4596
15204791dc
hex149270b8

345141432 has 32 divisors (see below), whose sum is σ = 958726800. Its totient is φ = 115047072.

The previous prime is 345141413. The next prime is 345141443. The reversal of 345141432 is 234141543.

It is a happy number.

345141432 is a `hidden beast` number, since 3 + 4 + 514 + 143 + 2 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 345141396 and 345141405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 798723 + ... + 799154.

Almost surely, 2345141432 is an apocalyptic number.

It is an amenable number.

345141432 is an abundant number, since it is smaller than the sum of its proper divisors (613585368).

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

345141432 is a wasteful number, since it uses less digits than its factorization.

345141432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1597892 (or 1597882 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 345141432 is about 18577.9824523547. The cubic root of 345141432 is about 701.4537353064.

Adding to 345141432 its reverse (234141543), we get a palindrome (579282975).

The spelling of 345141432 in words is "three hundred forty-five million, one hundred forty-one thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 1597877 3195754 4793631 6391508 9587262 12783016 14380893 19174524 28761786 38349048 43142679 57523572 86285358 115047144 172570716 345141432