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84374838 = 2335971373
BaseRepresentation
bin1010000011101…
…11010100110110
312212202200112000
411001313110312
5133044443323
612212240130
72043113532
oct501672466
9185680460
1084374838
114369a079
1224310046
1314632752
14b2c4bc2
157619e43
hex5077536

84374838 has 64 divisors (see below), whose sum is σ = 193881600. Its totient is φ = 27185760.

The previous prime is 84374827. The next prime is 84374867. The reversal of 84374838 is 83847348.

It is a happy number.

It is a super-2 number, since 2×843748382 = 14238226575052488, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 84374793 and 84374802.

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, 226020 + ... + 226392.

It is an arithmetic number, because the mean of its divisors is an integer number (3029400).

Almost surely, 284374838 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84374838, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96940800).

84374838 is an abundant number, since it is smaller than the sum of its proper divisors (109506762).

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

84374838 is a wasteful number, since it uses less digits than its factorization.

84374838 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514 (or 508 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The square root of 84374838 is about 9185.5777172696. The cubic root of 84374838 is about 438.6023800260.

The spelling of 84374838 in words is "eighty-four million, three hundred seventy-four thousand, eight hundred thirty-eight".

Divisors: 1 2 3 6 9 18 27 54 59 71 118 142 177 213 354 373 426 531 639 746 1062 1119 1278 1593 1917 2238 3186 3357 3834 4189 6714 8378 10071 12567 20142 22007 25134 26483 37701 44014 52966 66021 75402 79449 113103 132042 158898 198063 226206 238347 396126 476694 594189 715041 1188378 1430082 1562497 3124994 4687491 9374982 14062473 28124946 42187419 84374838