Search a number
-
+
34106672348 = 2271771652673
BaseRepresentation
bin11111110000111010…
…101000010011011100
310021000221201110202222
4133300322220103130
51024322302003343
623400212204512
72315123634350
oct376072502334
9107027643688
1034106672348
1113512366821
12673a309738
1332a7125338
141917a09460
15d49420a68
hex7f0ea84dc

34106672348 has 24 divisors (see below), whose sum is σ = 72225895392. Its totient is φ = 13757313024.

The previous prime is 34106672339. The next prime is 34106672371. The reversal of 34106672348 is 84327660143.

It is a junction number, because it is equal to n+sod(n) for n = 34106672299 and 34106672308.

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 7 ways as a sum of consecutive naturals, for example, 35825861 + ... + 35826812.

It is an arithmetic number, because the mean of its divisors is an integer number (3009412308).

Almost surely, 234106672348 is an apocalyptic number.

It is an amenable number.

34106672348 is an abundant number, since it is smaller than the sum of its proper divisors (38119223044).

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

34106672348 is a wasteful number, since it uses less digits than its factorization.

34106672348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71652701 (or 71652699 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 44.

The spelling of 34106672348 in words is "thirty-four billion, one hundred six million, six hundred seventy-two thousand, three hundred forty-eight".

Divisors: 1 2 4 7 14 17 28 34 68 119 238 476 71652673 143305346 286610692 501568711 1003137422 1218095441 2006274844 2436190882 4872381764 8526668087 17053336174 34106672348