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344140032 = 2831094111
BaseRepresentation
bin10100100000110…
…010100100000000
3212222120010101010
4110200302210000
51201044440112
654052040520
711346066465
oct2440624400
9788503333
10344140032
11167292555
1297303140
13563b3b72
14339c366c
152032c63c
hex14832900

344140032 has 72 divisors (see below), whose sum is σ = 924542080. Its totient is φ = 113633280.

The previous prime is 344139967. The next prime is 344140033. The reversal of 344140032 is 230041443.

344140032 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3441400322 = 236864723249922048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 344139990 and 344140008.

It is not an unprimeable number, because it can be changed into a prime (344140033) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 81657 + ... + 85767.

Almost surely, 2344140032 is an apocalyptic number.

344140032 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 344140032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462271040).

344140032 is an abundant number, since it is smaller than the sum of its proper divisors (580402048).

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

344140032 is a wasteful number, since it uses less digits than its factorization.

344140032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4239 (or 4225 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 344140032 is about 18551.0116166208. The cubic root of 344140032 is about 700.7746743418.

Adding to 344140032 its reverse (230041443), we get a palindrome (574181475).

The spelling of 344140032 in words is "three hundred forty-four million, one hundred forty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 109 128 192 218 256 327 384 436 654 768 872 1308 1744 2616 3488 4111 5232 6976 8222 10464 12333 13952 16444 20928 24666 27904 32888 41856 49332 65776 83712 98664 131552 197328 263104 394656 448099 526208 789312 896198 1052416 1344297 1578624 1792396 2688594 3157248 3584792 5377188 7169584 10754376 14339168 21508752 28678336 43017504 57356672 86035008 114713344 172070016 344140032