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34340436 = 22341331263
BaseRepresentation
bin1000001011111…
…1111001010100
32101121200020000
42002333321110
532242343221
63224011300
7564613614
oct202777124
971550200
1034340436
1118425529
12b600b30
1371647b0
1447bca44
153034e26
hex20bfe54

34340436 has 120 divisors (see below), whose sum is σ = 100176384. Its totient is φ = 10186560.

The previous prime is 34340417. The next prime is 34340447. The reversal of 34340436 is 63404343.

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 39 ways as a sum of consecutive naturals, for example, 130441 + ... + 130703.

Almost surely, 234340436 is an apocalyptic number.

34340436 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34340436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50088192).

34340436 is an abundant number, since it is smaller than the sum of its proper divisors (65835948).

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

34340436 is a wasteful number, since it uses less digits than its factorization.

34340436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

The square root of 34340436 is about 5860.0713306239. The cubic root of 34340436 is about 325.0388466386.

Adding to 34340436 its reverse (63404343), we get a palindrome (97744779).

The spelling of 34340436 in words is "thirty-four million, three hundred forty thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 31 36 39 52 54 62 78 81 93 108 117 124 156 162 186 234 263 279 324 351 372 403 468 526 558 702 789 806 837 1052 1053 1116 1209 1404 1578 1612 1674 2106 2367 2418 2511 3156 3348 3419 3627 4212 4734 4836 5022 6838 7101 7254 8153 9468 10044 10257 10881 13676 14202 14508 16306 20514 21303 21762 24459 28404 30771 32612 32643 41028 42606 43524 48918 61542 65286 73377 85212 92313 97836 105989 123084 130572 146754 184626 211978 220131 276939 293508 317967 369252 423956 440262 553878 635934 660393 880524 953901 1107756 1271868 1320786 1907802 2641572 2861703 3815604 5723406 8585109 11446812 17170218 34340436