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344413312 = 2710725147
BaseRepresentation
bin10100100001110…
…101010010000000
3220000002000020121
4110201311102000
51201132211222
654101550024
711351315305
oct2441652200
9800060217
10344413312
11167459901
1297415314
135647b379
1433a550ac
15203835c7
hex14875480

344413312 has 32 divisors (see below), whose sum is σ = 692575920. Its totient is φ = 170590464.

The previous prime is 344413297. The next prime is 344413313. The reversal of 344413312 is 213314443.

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (344413313) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1123 + ... + 26269.

Almost surely, 2344413312 is an apocalyptic number.

344413312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 344413312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346287960).

344413312 is an abundant number, since it is smaller than the sum of its proper divisors (348162608).

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

344413312 is a wasteful number, since it uses less digits than its factorization.

344413312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25268 (or 25256 counting only the distinct ones).

The product of its digits is 3456, while the sum is 25.

The square root of 344413312 is about 18558.3757910007. The cubic root of 344413312 is about 700.9601192341.

Adding to 344413312 its reverse (213314443), we get a palindrome (557727755).

The spelling of 344413312 in words is "three hundred forty-four million, four hundred thirteen thousand, three hundred twelve".

Divisors: 1 2 4 8 16 32 64 107 128 214 428 856 1712 3424 6848 13696 25147 50294 100588 201176 402352 804704 1609408 2690729 3218816 5381458 10762916 21525832 43051664 86103328 172206656 344413312