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449338134 = 23725328837
BaseRepresentation
bin11010110010000…
…101101100010110
31011022111202001010
4122302011230112
51410012310014
6112330513050
714064211500
oct3262055426
91138452033
10449338134
11210704433
12106595786
137212766b
1443968d70
15296ac359
hex1ac85b16

449338134 has 48 divisors (see below), whose sum is σ = 1065160368. Its totient is φ = 125955648.

The previous prime is 449338121. The next prime is 449338157. The reversal of 449338134 is 431833944.

It is a junction number, because it is equal to n+sod(n) for n = 449338092 and 449338101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1164 + ... + 30000.

It is an arithmetic number, because the mean of its divisors is an integer number (22190841).

Almost surely, 2449338134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 449338134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532580184).

449338134 is an abundant number, since it is smaller than the sum of its proper divisors (615822234).

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

449338134 is a wasteful number, since it uses less digits than its factorization.

449338134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28909 (or 28902 counting only the distinct ones).

The product of its digits is 124416, while the sum is 39.

The square root of 449338134 is about 21197.5973638523. The cubic root of 449338134 is about 765.9335486715.

The spelling of 449338134 in words is "four hundred forty-nine million, three hundred thirty-eight thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 42 49 53 98 106 147 159 294 318 371 742 1113 2226 2597 5194 7791 15582 28837 57674 86511 173022 201859 403718 605577 1211154 1413013 1528361 2826026 3056722 4239039 4585083 8478078 9170166 10698527 21397054 32095581 64191162 74889689 149779378 224669067 449338134