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34231338736 = 2471392198827
BaseRepresentation
bin11111111000010110…
…001100011011110000
310021100122022011220121
4133320112030123300
51030101210314421
623420424220024
72321166402250
oct377026143360
9107318264817
1034231338736
11135767754a1
12677400a614
1332c6bc422a
14192a3bb960
15d55348d41
hex7f858c6f0

34231338736 has 40 divisors (see below), whose sum is σ = 76343308160. Its totient is φ = 14565023424.

The previous prime is 34231338731. The next prime is 34231338811. The reversal of 34231338736 is 63783313243.

It is a junction number, because it is equal to n+sod(n) for n = 34231338692 and 34231338701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34231338731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1083846 + ... + 1114981.

It is an arithmetic number, because the mean of its divisors is an integer number (1908582704).

Almost surely, 234231338736 is an apocalyptic number.

It is an amenable number.

34231338736 is an abundant number, since it is smaller than the sum of its proper divisors (42111969424).

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

34231338736 is a wasteful number, since it uses less digits than its factorization.

34231338736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2198981 (or 2198975 counting only the distinct ones).

The product of its digits is 653184, while the sum is 43.

The spelling of 34231338736 in words is "thirty-four billion, two hundred thirty-one million, three hundred thirty-eight thousand, seven hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 56 112 139 278 556 973 1112 1946 2224 3892 7784 15568 2198827 4397654 8795308 15391789 17590616 30783578 35181232 61567156 123134312 246268624 305636953 611273906 1222547812 2139458671 2445095624 4278917342 4890191248 8557834684 17115669368 34231338736