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34200414656 = 261928125341
BaseRepresentation
bin11111110110100000…
…001110100111000000
310021021111010002001022
4133312200032213000
51030020301232111
623413401325012
72320342504502
oct376640164700
9107244102038
1034200414656
1113560273801
126765796768
1332c0687765
14192624bd72
15d5278b2db
hex7f680e9c0

34200414656 has 28 divisors (see below), whose sum is σ = 71438368680. Its totient is φ = 16200195840.

The previous prime is 34200414643. The next prime is 34200414671. The reversal of 34200414656 is 65641400243.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14061455 + ... + 14063886.

It is an arithmetic number, because the mean of its divisors is an integer number (2551370310).

Almost surely, 234200414656 is an apocalyptic number.

It is an amenable number.

34200414656 is an abundant number, since it is smaller than the sum of its proper divisors (37237954024).

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

34200414656 is a wasteful number, since it uses less digits than its factorization.

34200414656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28125372 (or 28125362 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 35.

Adding to 34200414656 its reverse (65641400243), we get a palindrome (99841814899).

The spelling of 34200414656 in words is "thirty-four billion, two hundred million, four hundred fourteen thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 19 32 38 64 76 152 304 608 1216 28125341 56250682 112501364 225002728 450005456 534381479 900010912 1068762958 1800021824 2137525916 4275051832 8550103664 17100207328 34200414656