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345709140 = 22357823117
BaseRepresentation
bin10100100110110…
…001101001010100
3220002111211210020
4110212301221110
51202000143030
654145425140
711365323240
oct2446615124
9802454706
10345709140
11168164437
129793b1b0
135681312a
1433cb1420
152053c510
hex149b1a54

345709140 has 48 divisors (see below), whose sum is σ = 1106270592. Its totient is φ = 79019136.

The previous prime is 345709139. The next prime is 345709157. The reversal of 345709140 is 41907543.

345709140 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 411139 + ... + 411978.

It is an arithmetic number, because the mean of its divisors is an integer number (23047304).

Almost surely, 2345709140 is an apocalyptic number.

345709140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

345709140 is an abundant number, since it is smaller than the sum of its proper divisors (760561452).

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

345709140 is a wasteful number, since it uses less digits than its factorization.

345709140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 823136 (or 823134 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 345709140 is about 18593.2552287113. The cubic root of 345709140 is about 701.8381214555.

The spelling of 345709140 in words is "three hundred forty-five million, seven hundred nine thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 823117 1646234 2469351 3292468 4115585 4938702 5761819 8231170 9877404 11523638 12346755 16462340 17285457 23047276 24693510 28809095 34570914 49387020 57618190 69141828 86427285 115236380 172854570 345709140