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34362422426343 = 31119732083253369
BaseRepresentation
bin1111101000000100111111…
…11110110111101011100111
311111200000102022010022010210
413310002133332313223213
514000443220120120333
6201025513503350503
710144413601242114
oct764023776675347
9144600368108123
1034362422426343
11aa490266a6820
123a2b8018b2433
13162349363201b
1486b215cdb90b
153e8ca369ba63
hex1f409ffb7ae7

34362422426343 has 32 divisors (see below), whose sum is σ = 50031242876160. Its totient is φ = 20805080221440.

The previous prime is 34362422426341. The next prime is 34362422426351.

It is a happy number.

34362422426343 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34362422426343 - 21 = 34362422426341 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34362422426292 and 34362422426301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34362422426341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 135495363 + ... + 135748731.

It is an arithmetic number, because the mean of its divisors is an integer number (1563476339880).

Almost surely, 234362422426343 is an apocalyptic number.

34362422426343 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34362422426343 is a deficient number, since it is larger than the sum of its proper divisors (15668820449817).

34362422426343 is a wasteful number, since it uses less digits than its factorization.

34362422426343 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257439.

The product of its digits is 11943936, while the sum is 48.

The spelling of 34362422426343 in words is "thirty-four trillion, three hundred sixty-two billion, four hundred twenty-two million, four hundred twenty-six thousand, three hundred forty-three".

Divisors: 1 3 11 33 1973 2083 5919 6249 21703 22913 65109 68739 253369 760107 2787059 4109759 8361177 12329277 45207349 135622047 499897037 527767627 1499691111 1583302881 5498867407 5805443897 16496602221 17416331691 1041285528071 3123856584213 11454140808781 34362422426343