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34200421335 = 3251429531847
BaseRepresentation
bin11111110110100000…
…010000001111010111
310021021111010102012200
4133312200100033113
51030020301440320
623413401415543
72320342533123
oct376640201727
9107244112180
1034200421335
1113560278823
12676579a5b3
1332c068a802
141926250583
15d5278d290
hex7f68103d7

34200421335 has 24 divisors (see below), whose sum is σ = 59322325920. Its totient is φ = 18227426112.

The previous prime is 34200421331. The next prime is 34200421349. The reversal of 34200421335 is 53312400243.

34200421335 is a `hidden beast` number, since 3 + 4 + 200 + 421 + 3 + 35 = 666.

It is not a de Polignac number, because 34200421335 - 22 = 34200421331 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34200421299 and 34200421308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34200421331) 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 23 ways as a sum of consecutive naturals, for example, 201619 + ... + 330228.

It is an arithmetic number, because the mean of its divisors is an integer number (2471763580).

Almost surely, 234200421335 is an apocalyptic number.

34200421335 is a deficient number, since it is larger than the sum of its proper divisors (25121904585).

34200421335 is a wasteful number, since it uses less digits than its factorization.

34200421335 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533287 (or 533284 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 34200421335 its reverse (53312400243), we get a palindrome (87512821578).

It can be divided in two parts, 34200 and 421335, that added together give a triangular number (455535 = T954).

The spelling of 34200421335 in words is "thirty-four billion, two hundred million, four hundred twenty-one thousand, three hundred thirty-five".

Divisors: 1 3 5 9 15 45 1429 4287 7145 12861 21435 64305 531847 1595541 2659235 4786623 7977705 23933115 760009363 2280028089 3800046815 6840084267 11400140445 34200421335