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2673468 = 223271032
BaseRepresentation
bin1010001100101100111100
312000211022100
422030230330
51141022333
6133145100
731503240
oct12145474
95024270
102673468
111566686
12a8b190
13727b45
144d8420
1537c213
hex28cb3c

2673468 has 54 divisors (see below), whose sum is σ = 7799064. Its totient is φ = 756432.

The previous prime is 2673457. The next prime is 2673469. The reversal of 2673468 is 8643762.

2673468 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×26734682 = 14294862294048, which contains 22 as substring.

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

It is a d-powerful number, because it can be written as 221 + 67 + 72 + 3 + 47 + 67 + 8 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2673469) 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 17 ways as a sum of consecutive naturals, for example, 25905 + ... + 26007.

22673468 is an apocalyptic number.

2673468 is a gapful number since it is divisible by the number (28) 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 2673468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3899532).

2673468 is an abundant number, since it is smaller than the sum of its proper divisors (5125596).

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

2673468 is a wasteful number, since it uses less digits than its factorization.

2673468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 115 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 2673468 is about 1635.0743102379. The cubic root of 2673468 is about 138.7900493106.

The spelling of 2673468 in words is "two million, six hundred seventy-three thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 103 126 206 252 309 412 618 721 927 1236 1442 1854 2163 2884 3708 4326 6489 8652 10609 12978 21218 25956 31827 42436 63654 74263 95481 127308 148526 190962 222789 297052 381924 445578 668367 891156 1336734 2673468