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343440044343 = 321123150830059
BaseRepresentation
bin1001111111101101001…
…11110011000100110111
31012211110221000220221100
410333312213303010313
521111331122404333
6421435120021143
733545523132054
oct4776647630467
91184427026840
10343440044343
11122719a515a0
12566894617b3
13265037b7a66
14128a054202b
158e011ad213
hex4ff69f3137

343440044343 has 24 divisors (see below), whose sum is σ = 564707744640. Its totient is φ = 199095676560.

The previous prime is 343440044323. The next prime is 343440044377.

343440044343 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 343440044343 - 210 = 343440043319 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 343440044298 and 343440044307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (343440044323) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75412753 + ... + 75417306.

It is an arithmetic number, because the mean of its divisors is an integer number (23529489360).

Almost surely, 2343440044343 is an apocalyptic number.

343440044343 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

343440044343 is a deficient number, since it is larger than the sum of its proper divisors (221267700297).

343440044343 is a wasteful number, since it uses less digits than its factorization.

343440044343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150830099 (or 150830096 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 36.

It can be divided in two parts, 3434400 and 44343, that added together give a palindrome (3478743).

The spelling of 343440044343 in words is "three hundred forty-three billion, four hundred forty million, forty-four thousand, three hundred forty-three".

Divisors: 1 3 9 11 23 33 69 99 207 253 759 2277 150830059 452490177 1357470531 1659130649 3469091357 4977391947 10407274071 14932175841 31221822213 38160004927 114480014781 343440044343