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34243413201 = 333679713559
BaseRepresentation
bin11111111001000100…
…010000010011010001
310021101111000121222000
4133321010100103101
51030112303210301
623421535104213
72321404131624
oct377104202321
9107344017860
1034243413201
1113582572198
126778072069
1332c956109a
14192bc41dbb
15d56431786
hex7f91104d1

34243413201 has 32 divisors (see below), whose sum is σ = 50935910400. Its totient is φ = 22736900880.

The previous prime is 34243413187. The next prime is 34243413229. The reversal of 34243413201 is 10231434243.

34243413201 is a `hidden beast` number, since 3 + 4 + 2 + 43 + 413 + 201 = 666.

It is not a de Polignac number, because 34243413201 - 27 = 34243413073 is a prime.

It is a super-2 number, since 2×342434132012 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (34243413251) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9619860 + ... + 9623418.

It is an arithmetic number, because the mean of its divisors is an integer number (1591747200).

Almost surely, 234243413201 is an apocalyptic number.

It is an amenable number.

34243413201 is a deficient number, since it is larger than the sum of its proper divisors (16692497199).

34243413201 is a wasteful number, since it uses less digits than its factorization.

34243413201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4906 (or 4900 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 34243413201 its reverse (10231434243), we get a palindrome (44474847444).

The spelling of 34243413201 in words is "thirty-four billion, two hundred forty-three million, four hundred thirteen thousand, two hundred one".

Divisors: 1 3 9 27 367 971 1101 2913 3303 3559 8739 9909 10677 26217 32031 96093 356357 1069071 1306153 3207213 3455789 3918459 9621639 10367367 11755377 31102101 35266131 93306303 1268274563 3804823689 11414471067 34243413201