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34135452 = 22331341593
BaseRepresentation
bin1000001000110…
…1110110011100
32101020021001000
42002031312130
532214313302
63215350300
7563101161
oct202156634
971207030
1034135452
11182a551a
12b522390
1370c23c0
144768068
152ee431c
hex208dd9c

34135452 has 96 divisors (see below), whose sum is σ = 97796160. Its totient is φ = 10229760.

The previous prime is 34135447. The next prime is 34135463. The reversal of 34135452 is 25453143.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57268 + ... + 57860.

It is an arithmetic number, because the mean of its divisors is an integer number (1018710).

Almost surely, 234135452 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 34135452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48898080).

34135452 is an abundant number, since it is smaller than the sum of its proper divisors (63660708).

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

34135452 is a wasteful number, since it uses less digits than its factorization.

34135452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 660 (or 652 counting only the distinct ones).

The product of its digits is 7200, while the sum is 27.

The square root of 34135452 is about 5842.5552628965. Note that the first 3 decimals coincide. The cubic root of 34135452 is about 324.3908178327.

Adding to 34135452 its reverse (25453143), we get a palindrome (59588595).

The spelling of 34135452 in words is "thirty-four million, one hundred thirty-five thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 41 52 54 78 82 108 117 123 156 164 234 246 351 369 468 492 533 593 702 738 1066 1107 1186 1404 1476 1599 1779 2132 2214 2372 3198 3558 4428 4797 5337 6396 7116 7709 9594 10674 14391 15418 16011 19188 21348 23127 24313 28782 30836 32022 46254 48626 57564 64044 69381 72939 92508 97252 138762 145878 208143 218817 277524 291756 316069 416286 437634 632138 656451 832572 875268 948207 1264276 1312902 1896414 2625804 2844621 3792828 5689242 8533863 11378484 17067726 34135452