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345115232 = 257211217107
BaseRepresentation
bin10100100100100…
…000101001100000
3220001101200002122
4110210200221200
51201322141412
654125003412
711360300600
oct2444405140
9801350078
10345115232
11167899200
12976b3568
13566659c7
1433b98c00
1520471572
hex14920a60

345115232 has 216 divisors, whose sum is σ = 928460232. Its totient is φ = 125368320.

The previous prime is 345115229. The next prime is 345115237. The reversal of 345115232 is 232511543.

It is a happy number.

Its product of digits (3600) is a multiple of the sum of its prime divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345115237) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3225323 + ... + 3225429.

It is an arithmetic number, because the mean of its divisors is an integer number (4298427).

Almost surely, 2345115232 is an apocalyptic number.

345115232 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345115232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464230116).

345115232 is an abundant number, since it is smaller than the sum of its proper divisors (583345000).

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

345115232 is a wasteful number, since it uses less digits than its factorization.

345115232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 144 counting only the distinct ones).

The product of its digits is 3600, while the sum is 26.

The square root of 345115232 is about 18577.2773032003. The cubic root of 345115232 is about 701.4359855269.

Adding to 345115232 its reverse (232511543), we get a palindrome (577626775).

The spelling of 345115232 in words is "three hundred forty-five million, one hundred fifteen thousand, two hundred thirty-two".