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2528344 = 2371323151
BaseRepresentation
bin1001101001010001011000
311202110020101
421221101120
51121401334
6130105144
730330160
oct11512130
94673211
102528344
111477645
12a1b1b4
136a6a80
1449b5a0
1534e214
hex269458

2528344 has 64 divisors (see below), whose sum is σ = 6128640. Its totient is φ = 950400.

The previous prime is 2528299. The next prime is 2528353. The reversal of 2528344 is 4438252.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an Ulam number.

It is a d-powerful number, because it can be written as 217 + 53 + 219 + 8 + 313 + 47 + 49 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16669 + ... + 16819.

It is an arithmetic number, because the mean of its divisors is an integer number (95760).

22528344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2528344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3064320).

2528344 is an abundant number, since it is smaller than the sum of its proper divisors (3600296).

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

2528344 is a wasteful number, since it uses less digits than its factorization.

2528344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 196 counting only the distinct ones).

The product of its digits is 7680, while the sum is 28.

The square root of 2528344 is about 1590.0767277084. The cubic root of 2528344 is about 136.2318708870.

The spelling of 2528344 in words is "two million, five hundred twenty-eight thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 13 14 23 26 28 46 52 56 91 92 104 151 161 182 184 299 302 322 364 598 604 644 728 1057 1196 1208 1288 1963 2093 2114 2392 3473 3926 4186 4228 6946 7852 8372 8456 13741 13892 15704 16744 24311 27482 27784 45149 48622 54964 90298 97244 109928 180596 194488 316043 361192 632086 1264172 2528344