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84339864 = 23327167341
BaseRepresentation
bin1010000011011…
…10110010011000
312212200220112200
411001232302120
5133042333424
612211410200
72042606550
oct501566230
9185626480
1084339864
1143675874
12242b3960
131461c85b
14b2b6160
15760e8c9
hex506ec98

84339864 has 48 divisors (see below), whose sum is σ = 261053520. Its totient is φ = 24096960.

The previous prime is 84339863. The next prime is 84339883. The reversal of 84339864 is 46893348.

It is a super-2 number, since 2×843398642 = 14226425319076992, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84339863) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 83167 + ... + 84174.

It is an arithmetic number, because the mean of its divisors is an integer number (5438615).

Almost surely, 284339864 is an apocalyptic number.

84339864 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

84339864 is an abundant number, since it is smaller than the sum of its proper divisors (176713656).

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

84339864 is a wasteful number, since it uses less digits than its factorization.

84339864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167360 (or 167353 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 84339864 is about 9183.6737746939. The cubic root of 84339864 is about 438.5417703310.

The spelling of 84339864 in words is "eighty-four million, three hundred thirty-nine thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 167341 334682 502023 669364 1004046 1171387 1338728 1506069 2008092 2342774 3012138 3514161 4016184 4685548 6024276 7028322 9371096 10542483 12048552 14056644 21084966 28113288 42169932 84339864