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34344201340 = 2256776933329
BaseRepresentation
bin11111111111000100…
…101110110001111100
310021122111200012022001
4133333010232301330
51030314103420330
623435535232044
72324036615611
oct377704566174
9107574605261
1034344201340
1113624451879
1267a5978624
1333143bc537
14193b39a508
15d601de9ca
hex7ff12ec7c

34344201340 has 48 divisors (see below), whose sum is σ = 73296669600. Its totient is φ = 13514637312.

The previous prime is 34344201323. The next prime is 34344201343. The reversal of 34344201340 is 4310244343.

It is a junction number, because it is equal to n+sod(n) for n = 34344201299 and 34344201308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34344201343) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1013796 + ... + 1047124.

It is an arithmetic number, because the mean of its divisors is an integer number (1527013950).

Almost surely, 234344201340 is an apocalyptic number.

It is an amenable number.

34344201340 is an abundant number, since it is smaller than the sum of its proper divisors (38952468260).

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

34344201340 is a wasteful number, since it uses less digits than its factorization.

34344201340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34174 (or 34172 counting only the distinct ones).

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

Adding to 34344201340 its reverse (4310244343), we get a palindrome (38654445683).

The spelling of 34344201340 in words is "thirty-four billion, three hundred forty-four million, two hundred one thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 67 134 268 335 670 769 1340 1538 3076 3845 7690 15380 33329 51523 66658 103046 133316 166645 206092 257615 333290 515230 666580 1030460 2233043 4466086 8932172 11165215 22330430 25630001 44660860 51260002 102520004 128150005 256300010 512600020 1717210067 3434420134 6868840268 8586050335 17172100670 34344201340