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34340441320 = 23517349144701
BaseRepresentation
bin11111111110110110…
…011000110011101000
310021122020121011112001
4133332312120303220
51030312123110240
623435322500344
72323662635503
oct377666306350
9107566534461
1034340441320
1113622313919
1267a46646b4
1333136a3c83
14193aa9c13a
15d5ebea89a
hex7fed98ce8

34340441320 has 64 divisors (see below), whose sum is σ = 82046034000. Its totient is φ = 12891033600.

The previous prime is 34340441281. The next prime is 34340441351. The reversal of 34340441320 is 2314404343.

It can be written as a sum of positive squares in 8 ways, for example, as 23499050436 + 10841390884 = 153294^2 + 104122^2 .

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, 164970 + ... + 309670.

Almost surely, 234340441320 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 34340441320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41023017000).

34340441320 is an abundant number, since it is smaller than the sum of its proper divisors (47705592680).

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

34340441320 is a wasteful number, since it uses less digits than its factorization.

34340441320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145078 (or 145074 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 34340441320 its reverse (2314404343), we get a palindrome (36654845663).

The spelling of 34340441320 in words is "thirty-four billion, three hundred forty million, four hundred forty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 349 680 698 1396 1745 2792 3490 5933 6980 11866 13960 23732 29665 47464 59330 118660 144701 237320 289402 578804 723505 1157608 1447010 2459917 2894020 4919834 5788040 9839668 12299585 19679336 24599170 49198340 50500649 98396680 101001298 202002596 252503245 404005192 505006490 858511033 1010012980 1717022066 2020025960 3434044132 4292555165 6868088264 8585110330 17170220660 34340441320