Search a number
-
+
84348144 = 24321930829
BaseRepresentation
bin1010000011100…
…00110011110000
312212201022220100
411001300303300
5133043120034
612211512400
72042642646
oct501606360
9185638810
1084348144
1143681011
12242b8700
131462355a
14b2b9196
157612099
hex5070cf0

84348144 has 60 divisors (see below), whose sum is σ = 248489800. Its totient is φ = 26635392.

The previous prime is 84348133. The next prime is 84348157. The reversal of 84348144 is 44184348.

It is a super-2 number, since 2×843481442 = 14229218792489472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 84348099 and 84348108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12679 + ... + 18150.

Almost surely, 284348144 is an apocalyptic number.

It is an amenable number.

84348144 is an abundant number, since it is smaller than the sum of its proper divisors (164141656).

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

84348144 is a wasteful number, since it uses less digits than its factorization.

84348144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30862 (or 30853 counting only the distinct ones).

The product of its digits is 49152, while the sum is 36.

The square root of 84348144 is about 9184.1245636152. The cubic root of 84348144 is about 438.5561210262.

The spelling of 84348144 in words is "eighty-four million, three hundred forty-eight thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 304 342 456 684 912 1368 2736 30829 61658 92487 123316 184974 246632 277461 369948 493264 554922 585751 739896 1109844 1171502 1479792 1757253 2219688 2343004 3514506 4439376 4686008 5271759 7029012 9372016 10543518 14058024 21087036 28116048 42174072 84348144