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34314430332 = 223713372833001
BaseRepresentation
bin11111111101010011…
…001010011101111100
310021120102122200011010
4133331103022131330
51030233443232312
623432553155220
72323225562640
oct377523123574
9107512580133
1034314430332
1113609668436
1267979bbb10
13330b197860
14193744ac20
15d5c7ad93c
hex7fd4ca77c

34314430332 has 192 divisors, whose sum is σ = 101598823424. Its totient is φ = 8771328000.

The previous prime is 34314430309. The next prime is 34314430343. The reversal of 34314430332 is 23303441343.

It is a self number, because there is not a number n which added to its sum of digits gives 34314430332.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11432832 + ... + 11435832.

Almost surely, 234314430332 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34314430332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50799411712).

34314430332 is an abundant number, since it is smaller than the sum of its proper divisors (67284393092).

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

34314430332 is a wasteful number, since it uses less digits than its factorization.

34314430332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3348 (or 3346 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 30.

Adding to 34314430332 its reverse (23303441343), we get a palindrome (57617871675).

The spelling of 34314430332 in words is "thirty-four billion, three hundred fourteen million, four hundred thirty thousand, three hundred thirty-two".