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34343133430240 = 2551021210229759
BaseRepresentation
bin1111100111100001000100…
…10001001100000111100000
311111121011122000110202212201
413303300202101030013200
514000134214124231430
6201013003453302544
710143131601416635
oct763604221140740
9144534560422781
1034343133430240
11aa40928552528
123a27b19a94a54
13162170b34a26b
1486a30621618c
153e85250788ca
hex1f3c2244c1e0

34343133430240 has 48 divisors (see below), whose sum is σ = 81215119964160. Its totient is φ = 13723798602240.

The previous prime is 34343133430223. The next prime is 34343133430261. The reversal of 34343133430240 is 4203433134343.

It is a self number, because there is not a number n which added to its sum of digits gives 34343133430240.

It is a congruent number.

It is an unprimeable number.

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, 104951520 + ... + 105278239.

It is an arithmetic number, because the mean of its divisors is an integer number (1691981665920).

Almost surely, 234343133430240 is an apocalyptic number.

It is an amenable number.

34343133430240 is an abundant number, since it is smaller than the sum of its proper divisors (46871986533920).

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

34343133430240 is a wasteful number, since it uses less digits than its factorization.

34343133430240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210230795 (or 210230787 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 37.

Adding to 34343133430240 its reverse (4203433134343), we get a palindrome (38546566564583).

The spelling of 34343133430240 in words is "thirty-four trillion, three hundred forty-three billion, one hundred thirty-three million, four hundred thirty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 1021 2042 4084 5105 8168 10210 16336 20420 32672 40840 81680 163360 210229759 420459518 840919036 1051148795 1681838072 2102297590 3363676144 4204595180 6727352288 8409190360 16818380720 33636761440 214644583939 429289167878 858578335756 1073222919695 1717156671512 2146445839390 3434313343024 4292891678780 6868626686048 8585783357560 17171566715120 34343133430240