Search a number
-
+
349445908 = 22737595717
BaseRepresentation
bin10100110101000…
…001111100010100
3220100112200200001
4110311001330110
51203424232113
654401501044
711442145510
oct2465017424
9810480601
10349445908
1116a286979
1299041784
1357520c36
14345a5140
1520a297dd
hex14d41f14

349445908 has 48 divisors (see below), whose sum is σ = 730074240. Its totient is φ = 143220096.

The previous prime is 349445869. The next prime is 349445909. The reversal of 349445908 is 809544943.

It is a super-2 number, since 2×3494459082 = 244224885235888928, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349445909) by changing a digit.

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, 58266 + ... + 63982.

It is an arithmetic number, because the mean of its divisors is an integer number (15209880).

Almost surely, 2349445908 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 349445908, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365037120).

349445908 is an abundant number, since it is smaller than the sum of its proper divisors (380628332).

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

349445908 is a wasteful number, since it uses less digits than its factorization.

349445908 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5824 (or 5822 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 46.

The square root of 349445908 is about 18693.4723366206. The cubic root of 349445908 is about 704.3577861322.

The spelling of 349445908 in words is "three hundred forty-nine million, four hundred forty-five thousand, nine hundred eight".

Divisors: 1 2 4 7 14 28 37 59 74 118 148 236 259 413 518 826 1036 1652 2183 4366 5717 8732 11434 15281 22868 30562 40019 61124 80038 160076 211529 337303 423058 674606 846116 1349212 1480703 2361121 2961406 4722242 5922812 9444484 12480211 24960422 49920844 87361477 174722954 349445908