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345121266 = 23753227683
BaseRepresentation
bin10100100100100…
…010000111110010
3220001101222101010
4110210202013302
51201322340031
654125051350
711360324310
oct2444420762
9801358333
10345121266
111678a2796
12976b6b56
1356668689
1433b9b0b0
1520473246
hex149221f2

345121266 has 64 divisors (see below), whose sum is σ = 808455168. Its totient is φ = 96178368.

The previous prime is 345121261. The next prime is 345121321. The reversal of 345121266 is 662121543.

It is not an unprimeable number, because it can be changed into a prime (345121261) 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, 504961 + ... + 505643.

It is an arithmetic number, because the mean of its divisors is an integer number (12632112).

Almost surely, 2345121266 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345121266, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404227584).

345121266 is an abundant number, since it is smaller than the sum of its proper divisors (463333902).

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

345121266 is a wasteful number, since it uses less digits than its factorization.

345121266 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 975.

The product of its digits is 8640, while the sum is 30.

The square root of 345121266 is about 18577.4397051908. The cubic root of 345121266 is about 701.4400734756.

It can be divided in two parts, 34512 and 1266, that added together give a triangular number (35778 = T267).

The spelling of 345121266 in words is "three hundred forty-five million, one hundred twenty-one thousand, two hundred sixty-six".

Divisors: 1 2 3 6 7 14 21 42 53 106 159 227 318 371 454 681 683 742 1113 1362 1366 1589 2049 2226 3178 4098 4767 4781 9534 9562 12031 14343 24062 28686 36093 36199 72186 72398 84217 108597 155041 168434 217194 252651 253393 310082 465123 505302 506786 760179 930246 1085287 1520358 2170574 3255861 6511722 8217173 16434346 24651519 49303038 57520211 115040422 172560633 345121266