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34321433692 = 22713373317699
BaseRepresentation
bin11111111101101101…
…111000010001011100
310021120220211110221211
4133331231320101130
51030242241334232
623433403234204
72323342241620
oct377555702134
9107526743854
1034321433692
1113612611137
12679a218964
13330c77a460
141938351180
15d5d1e3a47
hex7fdb7845c

34321433692 has 96 divisors (see below), whose sum is σ = 76160268800. Its totient is φ = 13169122560.

The previous prime is 34321433669. The next prime is 34321433701. The reversal of 34321433692 is 29633412343.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4454059 + ... + 4461757.

Almost surely, 234321433692 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34321433692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38080134400).

34321433692 is an abundant number, since it is smaller than the sum of its proper divisors (41838835108).

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

34321433692 is a wasteful number, since it uses less digits than its factorization.

34321433692 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8091 (or 8089 counting only the distinct ones).

The product of its digits is 279936, while the sum is 40.

The spelling of 34321433692 in words is "thirty-four billion, three hundred twenty-one million, four hundred thirty-three thousand, six hundred ninety-two".

Divisors: 1 2 4 7 13 14 26 28 37 52 74 91 148 182 259 331 364 481 518 662 962 1036 1324 1924 2317 3367 4303 4634 6734 7699 8606 9268 12247 13468 15398 17212 24494 30121 30796 48988 53893 60242 85729 100087 107786 120484 159211 171458 200174 215572 284863 318422 342916 400348 569726 636844 700609 1114477 1139452 1401218 1994041 2228954 2548369 2802436 3703219 3988082 4457908 5096738 7406438 7976164 10193476 14812876 17838583 25922533 33128797 35677166 51845066 66257594 71354332 94289653 103690132 132515188 188579306 231901579 377158612 463803158 660027571 927606316 1225765489 1320055142 2451530978 2640110284 4903061956 8580358423 17160716846 34321433692