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34340291616 = 2532971120401
BaseRepresentation
bin11111111110110101…
…110100010000100000
310021122020022120011110
4133332311310100200
51030312103312431
623435315343320
72323661443161
oct377665642040
9107566276143
1034340291616
11136222213a4
1267a45b1b40
133313650aa7
14193aa5d768
15d5ebbb346
hex7fed74420

34340291616 has 48 divisors (see below), whose sum is σ = 90174355488. Its totient is φ = 11442816000.

The previous prime is 34340291603. The next prime is 34340291617. The reversal of 34340291616 is 61619204343.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (34340291617) 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, 225016 + ... + 345416.

It is an arithmetic number, because the mean of its divisors is an integer number (1878632406).

Almost surely, 234340291616 is an apocalyptic number.

It is an amenable number.

34340291616 is an abundant number, since it is smaller than the sum of its proper divisors (55834063872).

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

34340291616 is a wasteful number, since it uses less digits than its factorization.

34340291616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123385 (or 123377 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 39.

Adding to 34340291616 its reverse (61619204343), we get a palindrome (95959495959).

The spelling of 34340291616 in words is "thirty-four billion, three hundred forty million, two hundred ninety-one thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 2971 5942 8913 11884 17826 23768 35652 47536 71304 95072 120401 142608 240802 285216 361203 481604 722406 963208 1444812 1926416 2889624 3852832 5779248 11558496 357711371 715422742 1073134113 1430845484 2146268226 2861690968 4292536452 5723381936 8585072904 11446763872 17170145808 34340291616