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34142836 = 2271397967
BaseRepresentation
bin1000001000111…
…1101001110100
32101020122011111
42002033221310
532220032321
63215444404
7563131540
oct202175164
971218144
1034142836
1118300022
12b526704
1370c5880
14476aa20
152ee65e1
hex208fa74

34142836 has 48 divisors (see below), whose sum is σ = 74373376. Its totient is φ = 13353984.

The previous prime is 34142827. The next prime is 34142839. The reversal of 34142836 is 63824143.

It is a junction number, because it is equal to n+sod(n) for n = 34142798 and 34142807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34142839) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34825 + ... + 35791.

Almost surely, 234142836 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 34142836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37186688).

34142836 is an abundant number, since it is smaller than the sum of its proper divisors (40230540).

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

34142836 is a wasteful number, since it uses less digits than its factorization.

34142836 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1088 (or 1086 counting only the distinct ones).

The product of its digits is 13824, while the sum is 31.

The square root of 34142836 is about 5843.1871440165. The cubic root of 34142836 is about 324.4142063136.

Adding to 34142836 its reverse (63824143), we get a palindrome (97966979).

The spelling of 34142836 in words is "thirty-four million, one hundred forty-two thousand, eight hundred thirty-six".

Divisors: 1 2 4 7 13 14 26 28 52 91 97 182 194 364 388 679 967 1261 1358 1934 2522 2716 3868 5044 6769 8827 12571 13538 17654 25142 27076 35308 50284 87997 93799 175994 187598 351988 375196 656593 1219387 1313186 2438774 2626372 4877548 8535709 17071418 34142836