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34942842 = 23211237673
BaseRepresentation
bin1000010101001…
…0111101111010
32102202021120100
42011102331322
532421132332
63244540230
7603003114
oct205227572
972667510
1034942842
11187a7090
12b851676
137315a4c
1448d83b4
15310367c
hex2152f7a

34942842 has 48 divisors (see below), whose sum is σ = 86194368. Its totient is φ = 10127040.

The previous prime is 34942811. The next prime is 34942861. The reversal of 34942842 is 24824943.

It is a junction number, because it is equal to n+sod(n) for n = 34942797 and 34942806.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 718 + ... + 8390.

It is an arithmetic number, because the mean of its divisors is an integer number (1795716).

Almost surely, 234942842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34942842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43097184).

34942842 is an abundant number, since it is smaller than the sum of its proper divisors (51251526).

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

34942842 is a wasteful number, since it uses less digits than its factorization.

34942842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7715 (or 7712 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 34942842 is about 5911.2470765482. The cubic root of 34942842 is about 326.9284696106.

It can be divided in two parts, 3494 and 2842, that added together give a palindrome (6336).

The spelling of 34942842 in words is "thirty-four million, nine hundred forty-two thousand, eight hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 23 33 46 66 69 99 138 198 207 253 414 506 759 1518 2277 4554 7673 15346 23019 46038 69057 84403 138114 168806 176479 253209 352958 506418 529437 759627 1058874 1519254 1588311 1941269 3176622 3882538 5823807 11647614 17471421 34942842