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3134697216 = 28371930689
BaseRepresentation
bin1011101011010111…
…1010111100000000
322002110111010011220
42322311322330000
522404440302331
61235015235040
7140452325640
oct27265727400
98073433156
103134697216
111369500462
12735978a80
133ac586031
1421a46a520
151352ee296
hexbad7af00

3134697216 has 144 divisors (see below), whose sum is σ = 10036857600. Its totient is φ = 848461824.

The previous prime is 3134697151. The next prime is 3134697217. The reversal of 3134697216 is 6127964313.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3134697217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86800 + ... + 117488.

It is an arithmetic number, because the mean of its divisors is an integer number (69700400).

Almost surely, 23134697216 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 3134697216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5018428800).

3134697216 is an abundant number, since it is smaller than the sum of its proper divisors (6902160384).

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

3134697216 is a wasteful number, since it uses less digits than its factorization.

3134697216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30734 (or 30720 counting only the distinct ones).

The product of its digits is 163296, while the sum is 42.

The square root of 3134697216 is about 55988.3667916827. The cubic root of 3134697216 is about 1463.5195652491.

The spelling of 3134697216 in words is "three billion, one hundred thirty-four million, six hundred ninety-seven thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 56 57 64 76 84 96 112 114 128 133 152 168 192 224 228 256 266 304 336 384 399 448 456 532 608 672 768 798 896 912 1064 1216 1344 1596 1792 1824 2128 2432 2688 3192 3648 4256 4864 5376 6384 7296 8512 12768 14592 17024 25536 30689 34048 51072 61378 92067 102144 122756 184134 214823 245512 368268 429646 491024 583091 644469 736536 859292 982048 1166182 1288938 1473072 1718584 1749273 1964096 2332364 2577876 2946144 3437168 3498546 3928192 4081637 4664728 5155752 5892288 6874336 6997092 7856384 8163274 9329456 10311504 11784576 12244911 13748672 13994184 16326548 18658912 20623008 23569152 24489822 27497344 27988368 32653096 37317824 41246016 48979644 54994688 55976736 65306192 74635648 82492032 97959288 111953472 130612384 149271296 164984064 195918576 223906944 261224768 391837152 447813888 522449536 783674304 1044899072 1567348608 3134697216