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345365130 = 235114332417
BaseRepresentation
bin10100100101011…
…101101010001010
3220001212100220010
4110211131222022
51201403141010
654134212350
711362361265
oct2445355212
9801770803
10345365130
11167a49a30
12977b40b6
1356722686
1433c21cdc
15204c0620
hex1495da8a

345365130 has 64 divisors (see below), whose sum is σ = 906691968. Its totient is φ = 83496960.

The previous prime is 345365113. The next prime is 345365131. The reversal of 345365130 is 31563543.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (345365131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 141682 + ... + 144098.

It is an arithmetic number, because the mean of its divisors is an integer number (14167062).

Almost surely, 2345365130 is an apocalyptic number.

345365130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 345365130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453345984).

345365130 is an abundant number, since it is smaller than the sum of its proper divisors (561326838).

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

345365130 is a wasteful number, since it uses less digits than its factorization.

345365130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2871.

The product of its (nonzero) digits is 16200, while the sum is 30.

The square root of 345365130 is about 18584.0019909599. The cubic root of 345365130 is about 701.6052479859.

The spelling of 345365130 in words is "three hundred forty-five million, three hundred sixty-five thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 433 866 1299 2165 2417 2598 4330 4763 4834 6495 7251 9526 12085 12990 14289 14502 23815 24170 26587 28578 36255 47630 53174 71445 72510 79761 132935 142890 159522 265870 398805 797610 1046561 2093122 3139683 5232805 6279366 10465610 11512171 15698415 23024342 31396830 34536513 57560855 69073026 115121710 172682565 345365130