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84268338 = 23721171367
BaseRepresentation
bin1010000010111…
…01010100110010
312212120021102120
411001131110302
5133033041323
612210055110
72042161200
oct501352462
9185507376
1084268338
1143627060
122427a496
13145c612b
14b298070
1575e85e3
hex505d532

84268338 has 96 divisors (see below), whose sum is σ = 217479168. Its totient is φ = 21520800.

The previous prime is 84268319. The next prime is 84268339. The reversal of 84268338 is 83386248.

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

It is a self number, because there is not a number n which added to its sum of digits gives 84268338.

It is not an unprimeable number, because it can be changed into a prime (84268339) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 229431 + ... + 229797.

It is an arithmetic number, because the mean of its divisors is an integer number (2265408).

Almost surely, 284268338 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84268338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108739584).

84268338 is an abundant number, since it is smaller than the sum of its proper divisors (133210830).

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

84268338 is a wasteful number, since it uses less digits than its factorization.

84268338 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 461 counting only the distinct ones).

The product of its digits is 221184, while the sum is 42.

The square root of 84268338 is about 9179.7787555039. The cubic root of 84268338 is about 438.4177640841.

The spelling of 84268338 in words is "eighty-four million, two hundred sixty-eight thousand, three hundred thirty-eight".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 49 66 71 77 98 142 147 154 213 231 294 367 426 462 497 539 734 781 994 1078 1101 1491 1562 1617 2202 2343 2569 2982 3234 3479 4037 4686 5138 5467 6958 7707 8074 10437 10934 12111 15414 16401 17983 20874 24222 26057 28259 32802 35966 38269 52114 53949 56518 76538 78171 84777 107898 114807 156342 169554 182399 197813 229614 286627 364798 395626 547197 573254 593439 859881 1094394 1186878 1276793 1719762 2006389 2553586 3830379 4012778 6019167 7660758 12038334 14044723 28089446 42134169 84268338