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345365136 = 24322398369
BaseRepresentation
bin10100100101011…
…101101010010000
3220001212100220100
4110211131222100
51201403141021
654134212400
711362361304
oct2445355220
9801770810
10345365136
11167a49a36
12977b4100
135672268c
1433c21d04
15204c0626
hex1495da90

345365136 has 30 divisors (see below), whose sum is σ = 966543110. Its totient is φ = 115121664.

The previous prime is 345365131. The next prime is 345365159. The reversal of 345365136 is 631563543.

It can be written as a sum of positive squares in only one way, i.e., 329204736 + 16160400 = 18144^2 + 4020^2 .

It is a super-3 number, since 3×3453651363 (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 345365136.

It is not an unprimeable number, because it can be changed into a prime (345365131) 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 5 ways as a sum of consecutive naturals, for example, 1199041 + ... + 1199328.

Almost surely, 2345365136 is an apocalyptic number.

345365136 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

345365136 is an abundant number, since it is smaller than the sum of its proper divisors (621177974).

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

345365136 is a wasteful number, since it uses less digits than its factorization.

345365136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2398383 (or 2398374 counting only the distinct ones).

The product of its digits is 97200, while the sum is 36.

The square root of 345365136 is about 18584.0021523890. The cubic root of 345365136 is about 701.6052520489.

The spelling of 345365136 in words is "three hundred forty-five million, three hundred sixty-five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 2398369 4796738 7195107 9593476 14390214 19186952 21585321 28780428 38373904 43170642 57560856 86341284 115121712 172682568 345365136