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345068440 = 23531421661
BaseRepresentation
bin10100100100010…
…101001110011000
3220001022021220121
4110210111032120
51201314142230
654124003024
711360014303
oct2444251630
9801267817
10345068440
11167867032
1297690474
135664a612
1433b85b3a
152046277a
hex14915398

345068440 has 64 divisors (see below), whose sum is σ = 804568320. Its totient is φ = 133056000.

The previous prime is 345068411. The next prime is 345068441. The reversal of 345068440 is 44860543.

It is a junction number, because it is equal to n+sod(n) for n = 345068396 and 345068405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345068441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 521710 + ... + 522370.

It is an arithmetic number, because the mean of its divisors is an integer number (12571380).

Almost surely, 2345068440 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 345068440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402284160).

345068440 is an abundant number, since it is smaller than the sum of its proper divisors (459499880).

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

345068440 is a wasteful number, since it uses less digits than its factorization.

345068440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1124 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 34.

The square root of 345068440 is about 18576.0178725151. The cubic root of 345068440 is about 701.4042829988.

The spelling of 345068440 in words is "three hundred forty-five million, sixty-eight thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 248 310 421 620 661 842 1240 1322 1684 2105 2644 3305 3368 4210 5288 6610 8420 13051 13220 16840 20491 26102 26440 40982 52204 65255 81964 102455 104408 130510 163928 204910 261020 278281 409820 522040 556562 819640 1113124 1391405 2226248 2782810 5565620 8626711 11131240 17253422 34506844 43133555 69013688 86267110 172534220 345068440