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344342016 = 293419223
BaseRepresentation
bin10100100001100…
…011111000000000
3212222221101110000
4110201203320000
51201122421031
654100240000
711350600404
oct2441437000
9788841400
10344342016
11167410287
12973a0000
1356454a95
1433a37104
152036c3e6
hex14863e00

344342016 has 300 divisors, whose sum is σ = 1131871752. Its totient is φ = 104011776.

The previous prime is 344342003. The next prime is 344342023. The reversal of 344342016 is 610243443.

It is a super-3 number, since 3×3443420163 (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 14971381 + ... + 14971403.

Almost surely, 2344342016 is an apocalyptic number.

344342016 is a gapful number since it is divisible by the number (36) 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 344342016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565935876).

344342016 is an abundant number, since it is smaller than the sum of its proper divisors (787529736).

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

344342016 is an equidigital number, since it uses as much as digits as its factorization.

344342016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 344342016 is about 18556.4548338307. The cubic root of 344342016 is about 700.9117479897.

Adding to 344342016 its reverse (610243443), we get a palindrome (954585459).

The spelling of 344342016 in words is "three hundred forty-four million, three hundred forty-two thousand, sixteen".