Search a number
-
+
345415122 = 23213732277
BaseRepresentation
bin10100100101101…
…001110111010010
3220001221220110200
4110211221313102
51201411240442
654135240030
711362660113
oct2445516722
9801856420
10345415122
11167a83548
1297819016
135673c360
1433c3620a
15204d034c
hex14969dd2

345415122 has 72 divisors (see below), whose sum is σ = 820110564. Its totient is φ = 104447232.

The previous prime is 345415073. The next prime is 345415159. The reversal of 345415122 is 221514543.

It can be written as a sum of positive squares in 6 ways, for example, as 73462041 + 271953081 = 8571^2 + 16491^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1246848 + ... + 1247124.

Almost surely, 2345415122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345415122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410055282).

345415122 is an abundant number, since it is smaller than the sum of its proper divisors (474695442).

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

345415122 is a wasteful number, since it uses less digits than its factorization.

345415122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 368 counting only the distinct ones).

The product of its digits is 4800, while the sum is 27.

The square root of 345415122 is about 18585.3469701268. The cubic root of 345415122 is about 701.6390990750.

Adding to 345415122 its reverse (221514543), we get a palindrome (566929665).

The spelling of 345415122 in words is "three hundred forty-five million, four hundred fifteen thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 39 73 78 117 146 219 234 277 438 554 657 831 949 1314 1662 1898 2493 2847 3601 4986 5329 5694 7202 8541 10658 10803 15987 17082 20221 21606 31974 32409 40442 47961 60663 64818 69277 95922 121326 138554 181989 207831 262873 363978 415662 525746 623493 788619 1246986 1476133 1577238 2365857 2952266 4428399 4731714 8856798 13285197 19189729 26570394 38379458 57569187 115138374 172707561 345415122