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343113144 = 233119291399
BaseRepresentation
bin10100011100110…
…111110110111000
3212220121221202020
4110130313312320
51200314110034
654014034440
711334261603
oct2434676670
9786557666
10343113144
11166750a90
1296aa8a20
135611463a
14337d733a
15201c8249
hex14737db8

343113144 has 64 divisors (see below), whose sum is σ = 937440000. Its totient is φ = 103787520.

The previous prime is 343113139. The next prime is 343113151. The reversal of 343113144 is 441311343.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 244557 + ... + 245955.

It is an arithmetic number, because the mean of its divisors is an integer number (14647500).

Almost surely, 2343113144 is an apocalyptic number.

It is an amenable number.

343113144 is an abundant number, since it is smaller than the sum of its proper divisors (594326856).

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

343113144 is a wasteful number, since it uses less digits than its factorization.

343113144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2348 (or 2344 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

The square root of 343113144 is about 18523.3135264725. The cubic root of 343113144 is about 700.0769602459.

Adding to 343113144 its reverse (441311343), we get a palindrome (784424487).

The spelling of 343113144 in words is "three hundred forty-three million, one hundred thirteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 929 1399 1858 2787 2798 3716 4197 5574 5596 7432 8394 10219 11148 11192 15389 16788 20438 22296 30657 30778 33576 40876 46167 61314 61556 81752 92334 122628 123112 184668 245256 369336 1299671 2599342 3899013 5198684 7798026 10397368 14296381 15596052 28592762 31192104 42889143 57185524 85778286 114371048 171556572 343113144