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34300690736 = 2413678292969
BaseRepresentation
bin11111111100011110…
…110000000100110000
310021112110210121222012
4133330132300010300
51030221434100421
623431342502052
72323001026544
oct377436600460
9107473717865
1034300690736
11136019336a4
126793294928
133308396b10
1419356b1a24
15d5b49795b
hex7fc7b0130

34300690736 has 80 divisors (see below), whose sum is σ = 72750031200. Its totient is φ = 15570745344.

The previous prime is 34300690703. The next prime is 34300690783. The reversal of 34300690736 is 63709600343.

It is a junction number, because it is equal to n+sod(n) for n = 34300690693 and 34300690702.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11551460 + ... + 11554428.

It is an arithmetic number, because the mean of its divisors is an integer number (909375390).

Almost surely, 234300690736 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 34300690736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36375015600).

34300690736 is an abundant number, since it is smaller than the sum of its proper divisors (38449340464).

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

34300690736 is a wasteful number, since it uses less digits than its factorization.

34300690736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3886 (or 3880 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 41.

The spelling of 34300690736 in words is "thirty-four billion, three hundred million, six hundred ninety thousand, seven hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 52 67 104 134 208 268 536 829 871 1072 1658 1742 2969 3316 3484 5938 6632 6968 10777 11876 13264 13936 21554 23752 38597 43108 47504 55543 77194 86216 111086 154388 172432 198923 222172 308776 397846 444344 617552 722059 795692 888688 1444118 1591384 2461301 2585999 2888236 3182768 4922602 5171998 5776472 9845204 10343996 11552944 19690408 20687992 31996913 39380816 41375984 63993826 127987652 164907167 255975304 329814334 511950608 659628668 1319257336 2143793171 2638514672 4287586342 8575172684 17150345368 34300690736