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84333704 = 23721321967
BaseRepresentation
bin1010000011011…
…01010010001000
312212200121002112
411001231102020
5133042134304
612211321452
72042552600
oct501552210
9185617075
1084333704
1143671184
12242b0288
1314619b00
14b2b3c00
15760cb6e
hex506d488

84333704 has 144 divisors (see below), whose sum is σ = 212792400. Its totient is φ = 31135104.

The previous prime is 84333701. The next prime is 84333713. The reversal of 84333704 is 40733348.

It is a super-2 number, since 2×843337042 = 14224347260719232, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (84333701) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1258679 + ... + 1258745.

It is an arithmetic number, because the mean of its divisors is an integer number (1477725).

Almost surely, 284333704 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 84333704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106396200).

84333704 is an abundant number, since it is smaller than the sum of its proper divisors (128458696).

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

84333704 is a wasteful number, since it uses less digits than its factorization.

84333704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 32.

The square root of 84333704 is about 9183.3383908032. The cubic root of 84333704 is about 438.5310933591.

The spelling of 84333704 in words is "eighty-four million, three hundred thirty-three thousand, seven hundred four".

Divisors: 1 2 4 7 8 13 14 19 26 28 38 49 52 56 67 76 91 98 104 133 134 152 169 182 196 247 266 268 338 364 392 469 494 532 536 637 676 728 871 931 938 988 1064 1183 1273 1274 1352 1729 1742 1862 1876 1976 2366 2546 2548 3211 3283 3458 3484 3724 3752 4732 5092 5096 6097 6422 6566 6916 6968 7448 8281 8911 9464 10184 11323 12103 12194 12844 13132 13832 16549 16562 17822 22477 22646 24206 24388 25688 26264 33098 33124 35644 42679 44954 45292 48412 48776 62377 66196 66248 71288 79261 85358 89908 90584 96824 115843 124754 132392 157339 158522 170716 179816 215137 231686 249508 314678 317044 341432 430274 463372 499016 554827 629356 634088 810901 860548 926744 1109654 1258712 1505959 1621802 1721096 2219308 3011918 3243604 4438616 6023836 6487208 10541713 12047672 21083426 42166852 84333704