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34314430254 = 23132125926879
BaseRepresentation
bin11111111101010011…
…001010011100101110
310021120102122200001020
4133331103022130232
51030233443232004
623432553155010
72323225562466
oct377523123456
9107512580036
1034314430254
1113609668375
1267979bba66
13330b197800
14193744aba6
15d5c7ad8d9
hex7fd4ca72e

34314430254 has 48 divisors (see below), whose sum is σ = 74375884800. Its totient is φ = 10549507488.

The previous prime is 34314430253. The next prime is 34314430259. The reversal of 34314430254 is 45203441343.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34314430253) 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, 1263187 + ... + 1290065.

It is an arithmetic number, because the mean of its divisors is an integer number (1549497600).

Almost surely, 234314430254 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34314430254, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37187942400).

34314430254 is an abundant number, since it is smaller than the sum of its proper divisors (40061454546).

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

34314430254 is a wasteful number, since it uses less digits than its factorization.

34314430254 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28169 (or 28156 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 33.

Adding to 34314430254 its reverse (45203441343), we get a palindrome (79517871597).

The spelling of 34314430254 in words is "thirty-four billion, three hundred fourteen million, four hundred thirty thousand, two hundred fifty-four".

Divisors: 1 2 3 6 13 26 39 78 169 338 507 1014 1259 2518 3777 7554 16367 26879 32734 49101 53758 80637 98202 161274 212771 349427 425542 638313 698854 1048281 1276626 2096562 4542551 9085102 13627653 27255306 33840661 67681322 101521983 203043966 439928593 879857186 1319785779 2639571558 5719071709 11438143418 17157215127 34314430254