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34375536 = 2433136121
BaseRepresentation
bin1000001100100…
…0011101110000
32101200110101000
42003020131300
532300004121
63224442000
7565121136
oct203103560
971613330
1034375536
1118449938
12b619300
137177770
1447cb756
153040526
hex20c8770

34375536 has 80 divisors (see below), whose sum is σ = 106277920. Its totient is φ = 10575360.

The previous prime is 34375531. The next prime is 34375567. The reversal of 34375536 is 63557343.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 34375536.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34375531) 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, 2556 + ... + 8676.

It is an arithmetic number, because the mean of its divisors is an integer number (1328474).

Almost surely, 234375536 is an apocalyptic number.

34375536 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 34375536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53138960).

34375536 is an abundant number, since it is smaller than the sum of its proper divisors (71902384).

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

34375536 is a wasteful number, since it uses less digits than its factorization.

34375536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6151 (or 6139 counting only the distinct ones).

The product of its digits is 113400, while the sum is 36.

The square root of 34375536 is about 5863.0654098347. The cubic root of 34375536 is about 325.1495516847.

The spelling of 34375536 in words is "thirty-four million, three hundred seventy-five thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 117 144 156 208 216 234 312 351 432 468 624 702 936 1404 1872 2808 5616 6121 12242 18363 24484 36726 48968 55089 73452 79573 97936 110178 146904 159146 165267 220356 238719 293808 318292 330534 440712 477438 636584 661068 716157 881424 954876 1273168 1322136 1432314 1909752 2148471 2644272 2864628 3819504 4296942 5729256 8593884 11458512 17187768 34375536