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345313224 = 23324796017
BaseRepresentation
bin10100100101010…
…000111111001000
3220001202201200200
4110211100333020
51201400010344
654133132200
711362054044
oct2445207710
9801681620
10345313224
11167a13a33
129778a060
1356704b69
1433c0b024
15204b0069
hex14950fc8

345313224 has 24 divisors (see below), whose sum is σ = 935223510. Its totient is φ = 115104384.

The previous prime is 345313217. The next prime is 345313229. The reversal of 345313224 is 422313543.

345313224 is a `hidden beast` number, since 345 + 313 + 2 + 2 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 345290724 + 22500 = 18582^2 + 150^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is not an unprimeable number, because it can be changed into a prime (345313229) 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, 2397937 + ... + 2398080.

Almost surely, 2345313224 is an apocalyptic number.

It is an amenable number.

345313224 is an abundant number, since it is smaller than the sum of its proper divisors (589910286).

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

345313224 is a wasteful number, since it uses less digits than its factorization.

345313224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4796029 (or 4796022 counting only the distinct ones).

The product of its digits is 8640, while the sum is 27.

The square root of 345313224 is about 18582.6054147420. The cubic root of 345313224 is about 701.5700974129.

Adding to 345313224 its reverse (422313543), we get a palindrome (767626767).

The spelling of 345313224 in words is "three hundred forty-five million, three hundred thirteen thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 4796017 9592034 14388051 19184068 28776102 38368136 43164153 57552204 86328306 115104408 172656612 345313224