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34305330336 = 25317731012851
BaseRepresentation
bin11111111100110000…
…011100110010100000
310021112210112100022020
4133330300130302200
51030224131032321
623432030141440
72323055332224
oct377460346240
9107483470266
1034305330336
1113604512482
126794951880
13330932c844
14193615c784
15d5bab24c6
hex7fcc1cca0

34305330336 has 192 divisors, whose sum is σ = 97646000256. Its totient is φ = 10506240000.

The previous prime is 34305330331. The next prime is 34305330359. The reversal of 34305330336 is 63303350343.

It is a junction number, because it is equal to n+sod(n) for n = 34305330297 and 34305330306.

It is not an unprimeable number, because it can be changed into a prime (34305330331) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12031311 + ... + 12034161.

It is an arithmetic number, because the mean of its divisors is an integer number (508572918).

Almost surely, 234305330336 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 34305330336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48823000128).

34305330336 is an abundant number, since it is smaller than the sum of its proper divisors (63340669920).

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

34305330336 is a wasteful number, since it uses less digits than its factorization.

34305330336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3055 (or 3047 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 33.

Adding to 34305330336 its reverse (63303350343), we get a palindrome (97608680679).

The spelling of 34305330336 in words is "thirty-four billion, three hundred five million, three hundred thirty thousand, three hundred thirty-six".