Search a number
-
+
33843918342 = 231317127200971
BaseRepresentation
bin11111100001010000…
…010011011000000110
310020100122022012001010
4133201100103120012
51023303020341332
623314144343050
72305453362603
oct374120233006
9106318265033
1033843918342
1113398011853
126686314a86
1332648686b0
1418d0b6d6aa
15d3131c9cc
hex7e1413606

33843918342 has 64 divisors (see below), whose sum is σ = 77790633984. Its totient is φ = 9723732480.

The previous prime is 33843918319. The next prime is 33843918347. The reversal of 33843918342 is 24381934833.

It is a super-2 number, since 2×338439183422 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33843918291 and 33843918300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33843918347) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67917 + ... + 268887.

It is an arithmetic number, because the mean of its divisors is an integer number (1215478656).

Almost surely, 233843918342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33843918342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38895316992).

33843918342 is an abundant number, since it is smaller than the sum of its proper divisors (43946715642).

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

33843918342 is a wasteful number, since it uses less digits than its factorization.

33843918342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201133.

The product of its digits is 1492992, while the sum is 48.

The spelling of 33843918342 in words is "thirty-three billion, eight hundred forty-three million, nine hundred eighteen thousand, three hundred forty-two".

Divisors: 1 2 3 6 13 17 26 34 39 51 78 102 127 221 254 381 442 663 762 1326 1651 2159 3302 4318 4953 6477 9906 12954 28067 56134 84201 168402 200971 401942 602913 1205826 2612623 3416507 5225246 6833014 7837869 10249521 15675738 20499042 25523317 44414591 51046634 76569951 88829182 133243773 153139902 266487546 331803121 433896389 663606242 867792778 995409363 1301689167 1990818726 2603378334 5640653057 11281306114 16921959171 33843918342