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2080344 = 233722961
BaseRepresentation
bin111111011111001011000
310220200200210
413323321120
51013032334
6112331120
723453100
oct7737130
93820623
102080344
1111a0aa2
12843aa0
1357ab96
143c2200
152b15e9
hex1fbe58

2080344 has 96 divisors (see below), whose sum is σ = 6361200. Its totient is φ = 564480.

The previous prime is 2080343. The next prime is 2080349. The reversal of 2080344 is 4430802.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 2080344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2080343) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34074 + ... + 34134.

22080344 is an apocalyptic number.

2080344 is a gapful number since it is divisible by the number (24) 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 2080344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3180600).

2080344 is an abundant number, since it is smaller than the sum of its proper divisors (4280856).

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

2080344 is a wasteful number, since it uses less digits than its factorization.

2080344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 2080344 is about 1442.3397657972. The cubic root of 2080344 is about 127.6571227094.

The spelling of 2080344 in words is "two million, eighty thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 29 42 49 56 58 61 84 87 98 116 122 147 168 174 183 196 203 232 244 294 348 366 392 406 427 488 588 609 696 732 812 854 1176 1218 1281 1421 1464 1624 1708 1769 2436 2562 2842 2989 3416 3538 4263 4872 5124 5307 5684 5978 7076 8526 8967 10248 10614 11368 11956 12383 14152 17052 17934 21228 23912 24766 34104 35868 37149 42456 49532 71736 74298 86681 99064 148596 173362 260043 297192 346724 520086 693448 1040172 2080344