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3420040113 = 327279891103
BaseRepresentation
bin1100101111011001…
…1010101110110001
322211100102001001100
43023312122232301
524001012240423
61323211155013
7150515601300
oct31366325661
98740361040
103420040113
1114a5583836
127b5445a69
13426721599
14246306437
151503b5343
hexcbd9abb1

3420040113 has 72 divisors (see below), whose sum is σ = 5890060800. Its totient is φ = 1906160256.

The previous prime is 3420040111. The next prime is 3420040121. The reversal of 3420040113 is 3110400243.

It is not a de Polignac number, because 3420040113 - 21 = 3420040111 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3420040111) 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 71 ways as a sum of consecutive naturals, for example, 3100120 + ... + 3101222.

It is an arithmetic number, because the mean of its divisors is an integer number (81806400).

Almost surely, 23420040113 is an apocalyptic number.

It is an amenable number.

3420040113 is a deficient number, since it is larger than the sum of its proper divisors (2470020687).

3420040113 is a wasteful number, since it uses less digits than its factorization.

3420040113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1291 (or 1281 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3420040113 is about 58481.1090267618. The cubic root of 3420040113 is about 1506.6431449837.

Adding to 3420040113 its reverse (3110400243), we get a palindrome (6530440356).

The spelling of 3420040113 in words is "three billion, four hundred twenty million, forty thousand, one hundred thirteen".

Divisors: 1 3 7 9 21 49 63 79 89 147 237 267 441 553 623 711 801 1103 1659 1869 3309 3871 4361 4977 5607 7031 7721 9927 11613 13083 21093 23163 34839 39249 49217 54047 63279 69489 87137 98167 147651 162141 261411 294501 344519 442953 486423 609959 687169 784233 883503 1033557 1829877 2061507 3100671 4269713 4810183 5489631 6184521 7755193 12809139 14430549 23265579 38427417 43291647 54286351 69796737 162859053 380004457 488577159 1140013371 3420040113