Search a number
-
+
34246249044 = 22372695212909
BaseRepresentation
bin11111111001001111…
…000100101001010100
310021101200100201000020
4133321033010221110
51030114014432134
623422115545140
72321440212450
oct377117045124
9107350321006
1034246249044
1113584129867
126778bbb1b0
1332ca014ab7
14192c37d660
15d567e1b49
hex7f93c4a54

34246249044 has 96 divisors (see below), whose sum is σ = 91870329600. Its totient is φ = 9726213120.

The previous prime is 34246249019. The next prime is 34246249067. The reversal of 34246249044 is 44094264243.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 34246248987 and 34246249005.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 11771062 + ... + 11773970.

It is an arithmetic number, because the mean of its divisors is an integer number (956982600).

Almost surely, 234246249044 is an apocalyptic number.

It is an amenable number.

34246249044 is an abundant number, since it is smaller than the sum of its proper divisors (57624080556).

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

34246249044 is a wasteful number, since it uses less digits than its factorization.

34246249044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3713 (or 3711 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 42.

The spelling of 34246249044 in words is "thirty-four billion, two hundred forty-six million, two hundred forty-nine thousand, forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 269 521 538 807 1042 1076 1563 1614 1883 2084 2909 3126 3228 3647 3766 5649 5818 6252 7294 7532 8727 10941 11298 11636 14588 17454 20363 21882 22596 34908 40726 43764 61089 81452 122178 140149 244356 280298 420447 560596 782521 840894 981043 1515589 1565042 1681788 1962086 2347563 2943129 3031178 3130084 3924172 4546767 4695126 5477647 5886258 6062356 9093534 9390252 10609123 10955294 11772516 16432941 18187068 21218246 21910588 31827369 32865882 42436492 63654738 65731764 127309476 407693441 815386882 1223080323 1630773764 2446160646 2853854087 4892321292 5707708174 8561562261 11415416348 17123124522 34246249044