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34314396496 = 243191175941
BaseRepresentation
bin11111111101010011…
…000010001101010000
310021120102120221201221
4133331103002031100
51030233441141441
623432552334424
72323225362202
oct377523021520
9107512527657
1034314396496
1113609644a76
1267979a4414
13330b185333
14193743c772
15d5c7a38d1
hex7fd4c2350

34314396496 has 40 divisors (see below), whose sum is σ = 68705031168. Its totient is φ = 16585296000.

The previous prime is 34314396491. The next prime is 34314396499. The reversal of 34314396496 is 69469341343.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34314396491) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 413886 + ... + 489826.

Almost surely, 234314396496 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 34314396496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34352515584).

34314396496 is an abundant number, since it is smaller than the sum of its proper divisors (34390634672).

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

34314396496 is a wasteful number, since it uses less digits than its factorization.

34314396496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76891 (or 76885 counting only the distinct ones).

The product of its digits is 5038848, while the sum is 52.

The spelling of 34314396496 in words is "thirty-four billion, three hundred fourteen million, three hundred ninety-six thousand, four hundred ninety-six".

Divisors: 1 2 4 8 16 31 62 124 248 496 911 1822 3644 7288 14576 28241 56482 75941 112964 151882 225928 303764 451856 607528 1215056 2354171 4708342 9416684 18833368 37666736 69182251 138364502 276729004 553458008 1106916016 2144649781 4289299562 8578599124 17157198248 34314396496