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34114136 = 2373143457
BaseRepresentation
bin1000001000100…
…0101001011000
32101012011210112
42002020221120
532213123021
63215103452
7562652060
oct202105130
971164715
1034114136
1118290501
12b511b88
1370b57a4
1447603a0
152edcd5b
hex2088a58

34114136 has 64 divisors (see below), whose sum is σ = 77383680. Its totient is φ = 13789440.

The previous prime is 34114127. The next prime is 34114159. The reversal of 34114136 is 63141143.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74420 + ... + 74876.

It is an arithmetic number, because the mean of its divisors is an integer number (1209120).

Almost surely, 234114136 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 34114136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38691840).

34114136 is an abundant number, since it is smaller than the sum of its proper divisors (43269544).

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

34114136 is a wasteful number, since it uses less digits than its factorization.

34114136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544 (or 540 counting only the distinct ones).

The product of its digits is 864, while the sum is 23.

The square root of 34114136 is about 5840.7307761957. The cubic root of 34114136 is about 324.3232814536.

Adding to 34114136 its reverse (63141143), we get a palindrome (97255279).

The spelling of 34114136 in words is "thirty-four million, one hundred fourteen thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 28 31 43 56 62 86 124 172 217 248 301 344 434 457 602 868 914 1204 1333 1736 1828 2408 2666 3199 3656 5332 6398 9331 10664 12796 14167 18662 19651 25592 28334 37324 39302 56668 74648 78604 99169 113336 137557 157208 198338 275114 396676 550228 609181 793352 1100456 1218362 2436724 4264267 4873448 8528534 17057068 34114136