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345313344 = 26310117807
BaseRepresentation
bin10100100101010…
…001000001000000
3220001202201212010
4110211101001000
51201400011334
654133132520
711362054305
oct2445210100
9801681763
10345313344
11167a14032
129778a140
1356704c2c
1433c0b0ac
15204b00e9
hex14951040

345313344 has 56 divisors (see below), whose sum is σ = 922739328. Its totient is φ = 113958400.

The previous prime is 345313327. The next prime is 345313351. The reversal of 345313344 is 443313543.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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, 10489 + ... + 28295.

It is an arithmetic number, because the mean of its divisors is an integer number (16477488).

Almost surely, 2345313344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345313344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461369664).

345313344 is an abundant number, since it is smaller than the sum of its proper divisors (577425984).

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

345313344 is a wasteful number, since it uses less digits than its factorization.

345313344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17923 (or 17913 counting only the distinct ones).

The product of its digits is 25920, while the sum is 30.

The square root of 345313344 is about 18582.6086435678. The cubic root of 345313344 is about 701.5701786806.

Adding to 345313344 its reverse (443313543), we get a palindrome (788626887).

The spelling of 345313344 in words is "three hundred forty-five million, three hundred thirteen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 101 192 202 303 404 606 808 1212 1616 2424 3232 4848 6464 9696 17807 19392 35614 53421 71228 106842 142456 213684 284912 427368 569824 854736 1139648 1709472 1798507 3418944 3597014 5395521 7194028 10791042 14388056 21582084 28776112 43164168 57552224 86328336 115104448 172656672 345313344