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34134255344 = 247247926353
BaseRepresentation
bin11111110010100011…
…110110011011110000
310021002212121211112102
4133302203312123300
51024401332132334
623403035315532
72315610245300
oct376243663360
9107085554472
1034134255344
1113526996292
1267475abba8
1332aca62137
14191b549600
15d4ba6d67e
hex7f28f66f0

34134255344 has 60 divisors (see below), whose sum is σ = 78569640864. Its totient is φ = 14317696512.

The previous prime is 34134255343. The next prime is 34134255349. The reversal of 34134255344 is 44355243143.

It is a junction number, because it is equal to n+sod(n) for n = 34134255298 and 34134255307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34134255343) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 426329 + ... + 500024.

Almost surely, 234134255344 is an apocalyptic number.

It is an amenable number.

34134255344 is an abundant number, since it is smaller than the sum of its proper divisors (44435385520).

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

34134255344 is a wasteful number, since it uses less digits than its factorization.

34134255344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 926422 (or 926409 counting only the distinct ones).

The product of its digits is 345600, while the sum is 38.

Adding to 34134255344 its reverse (44355243143), we get a palindrome (78489498487).

The spelling of 34134255344 in words is "thirty-four billion, one hundred thirty-four million, two hundred fifty-five thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 47 49 56 94 98 112 188 196 329 376 392 658 752 784 1316 2303 2632 4606 5264 9212 18424 36848 926353 1852706 3705412 6484471 7410824 12968942 14821648 25937884 43538591 45391297 51875768 87077182 90782594 103751536 174154364 181565188 304770137 348308728 363130376 609540274 696617456 726260752 1219080548 2133390959 2438161096 4266781918 4876322192 8533563836 17067127672 34134255344