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8134224 = 243743563
BaseRepresentation
bin11111000001111001010000
3120022021001120
4133001321100
54040243344
6450202240
7126065640
oct37017120
916267046
108134224
1146563aa
122883380
1318ba567
14111a520
15aaa219
hex7c1e50

8134224 has 80 divisors (see below), whose sum is σ = 24617472. Its totient is φ = 2265984.

The previous prime is 8134201. The next prime is 8134229. The reversal of 8134224 is 4224318.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 = 8134194 and 8134203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8134229) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 14167 + ... + 14729.

Almost surely, 28134224 is an apocalyptic number.

8134224 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8134224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12308736).

8134224 is an abundant number, since it is smaller than the sum of its proper divisors (16483248).

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

8134224 is a wasteful number, since it uses less digits than its factorization.

8134224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624 (or 618 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 8134224 is about 2852.0561004300. The cubic root of 8134224 is about 201.1123354140.

The spelling of 8134224 in words is "eight million, one hundred thirty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 43 48 56 84 86 112 129 168 172 258 301 336 344 516 563 602 688 903 1032 1126 1204 1689 1806 2064 2252 2408 3378 3612 3941 4504 4816 6756 7224 7882 9008 11823 13512 14448 15764 23646 24209 27024 31528 47292 48418 63056 72627 94584 96836 145254 169463 189168 193672 290508 338926 387344 508389 581016 677852 1016778 1162032 1355704 2033556 2711408 4067112 8134224