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34342014400 = 265221463759
BaseRepresentation
bin11111111110111100…
…011000110111000000
310021122100120002101021
4133332330120313000
51030313023430100
623435420315224
72324012206651
oct377674306700
9107570502337
1034342014400
1113623198791
1267a50a2b14
133313b04ca5
14193ad8b528
15d5ee0ba1a
hex7fef18dc0

34342014400 has 42 divisors (see below), whose sum is σ = 84502823120. Its totient is φ = 13736805120.

The previous prime is 34342014361. The next prime is 34342014437. The reversal of 34342014400 is 441024343.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10730280 + ... + 10733479.

Almost surely, 234342014400 is an apocalyptic number.

It is an amenable number.

34342014400 is an abundant number, since it is smaller than the sum of its proper divisors (50160808720).

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

34342014400 is a wasteful number, since it uses less digits than its factorization.

34342014400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21463781 (or 21463766 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 34342014400 its reverse (441024343), we get a palindrome (34783038743).

The spelling of 34342014400 in words is "thirty-four billion, three hundred forty-two million, fourteen thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 320 400 800 1600 21463759 42927518 85855036 107318795 171710072 214637590 343420144 429275180 536593975 686840288 858550360 1073187950 1373680576 1717100720 2146375900 3434201440 4292751800 6868402880 8585503600 17171007200 34342014400