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34300020400 = 245285750051
BaseRepresentation
bin11111111100011100…
…001100011010110000
310021112102112120102221
4133330130030122300
51030221301123100
623431320250424
72322662235322
oct377434143260
9107472476387
1034300020400
1113601515aa8
126793010a14
1333081c0979
141935579612
15d5b3b401a
hex7fc70c6b0

34300020400 has 30 divisors (see below), whose sum is σ = 82405799972. Its totient is φ = 13720008000.

The previous prime is 34300020397. The next prime is 34300020407. The reversal of 34300020400 is 402000343.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (34300020407) 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 5 ways as a sum of consecutive naturals, for example, 42874626 + ... + 42875425.

Almost surely, 234300020400 is an apocalyptic number.

It is an amenable number.

34300020400 is an abundant number, since it is smaller than the sum of its proper divisors (48105779572).

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

34300020400 is a wasteful number, since it uses less digits than its factorization.

34300020400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85750069 (or 85750058 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

Adding to 34300020400 its reverse (402000343), we get a palindrome (34702020743).

The spelling of 34300020400 in words is "thirty-four billion, three hundred million, twenty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 85750051 171500102 343000204 428750255 686000408 857500510 1372000816 1715001020 2143751275 3430002040 4287502550 6860004080 8575005100 17150010200 34300020400