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834114288 = 243719130657
BaseRepresentation
bin110001101101111…
…001001011110000
32011010112101200210
4301231321023300
53202013124123
6214433544120
726445566040
oct6155711360
92133471623
10834114288
11398921457
121b3415040
13103a68767
147cac9720
154d364e93
hex31b792f0

834114288 has 80 divisors (see below), whose sum is σ = 2592254720. Its totient is φ = 225773568.

The previous prime is 834114277. The next prime is 834114353. The reversal of 834114288 is 882411438.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

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, 58945 + ... + 71712.

It is an arithmetic number, because the mean of its divisors is an integer number (32403184).

Almost surely, 2834114288 is an apocalyptic number.

It is an amenable number.

834114288 is an abundant number, since it is smaller than the sum of its proper divisors (1758140432).

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

834114288 is a wasteful number, since it uses less digits than its factorization.

834114288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130694 (or 130688 counting only the distinct ones).

The product of its digits is 49152, while the sum is 39.

The square root of 834114288 is about 28881.0368234937. The cubic root of 834114288 is about 941.3298996915.

The spelling of 834114288 in words is "eight hundred thirty-four million, one hundred fourteen thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 42 48 56 57 76 84 112 114 133 152 168 228 266 304 336 399 456 532 798 912 1064 1596 2128 3192 6384 130657 261314 391971 522628 783942 914599 1045256 1567884 1829198 2090512 2482483 2743797 3135768 3658396 4964966 5487594 6271536 7316792 7447449 9929932 10975188 14633584 14894898 17377381 19859864 21950376 29789796 34754762 39719728 43900752 52132143 59579592 69509524 104264286 119159184 139019048 208528572 278038096 417057144 834114288