Search a number
-
+
34312202262 = 23313411192141
BaseRepresentation
bin11111111101001010…
…101010100000010110
310021120021110110211000
4133331022222200112
51030232410433022
623432433324130
72323200623052
oct377512524026
9107507413730
1034312202262
1113608386458
126797106646
13330a897680
14193702ac62
15d5c4bd6ac
hex7fd2aa816

34312202262 has 64 divisors (see below), whose sum is σ = 84117539520. Its totient is φ = 10300089600.

The previous prime is 34312202261. The next prime is 34312202269. The reversal of 34312202262 is 26220221343.

It is a happy number.

34312202262 is a `hidden beast` number, since 3 + 431 + 2 + 2 + 0 + 226 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34312202261) 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 31 ways as a sum of consecutive naturals, for example, 567289 + ... + 624852.

It is an arithmetic number, because the mean of its divisors is an integer number (1314336555).

Almost surely, 234312202262 is an apocalyptic number.

34312202262 is an abundant number, since it is smaller than the sum of its proper divisors (49805337258).

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

34312202262 is a wasteful number, since it uses less digits than its factorization.

34312202262 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1192206 (or 1192200 counting only the distinct ones).

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

The spelling of 34312202262 in words is "thirty-four billion, three hundred twelve million, two hundred two thousand, two hundred sixty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 41 54 78 82 117 123 234 246 351 369 533 702 738 1066 1107 1599 2214 3198 4797 9594 14391 28782 1192141 2384282 3576423 7152846 10729269 15497833 21458538 30995666 32187807 46493499 48877781 64375614 92986998 97755562 139480497 146633343 278960994 293266686 418441491 439900029 635411153 836882982 879800058 1270822306 1319700087 1906233459 2639400174 3812466918 5718700377 11437400754 17156101131 34312202262