Search a number
-
+
2545344 = 2634491
BaseRepresentation
bin1001101101011011000000
311210022120000
421231123000
51122422334
6130320000
730430554
oct11553300
94708500
102545344
11148939a
12a29000
136b1729
144a3864
15354299
hex26d6c0

2545344 has 70 divisors (see below), whose sum is σ = 7560564. Its totient is φ = 846720.

The previous prime is 2545343. The next prime is 2545357. The reversal of 2545344 is 4435452.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (2545343) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 4939 + ... + 5429.

22545344 is an apocalyptic number.

2545344 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 2545344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3780282).

2545344 is an abundant number, since it is smaller than the sum of its proper divisors (5015220).

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

2545344 is an equidigital number, since it uses as much as digits as its factorization.

2545344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515 (or 496 counting only the distinct ones).

The product of its digits is 9600, while the sum is 27.

The square root of 2545344 is about 1595.4134260435. The cubic root of 2545344 is about 136.5365196332.

It can be divided in two parts, 25 and 45344, that added together give a square (45369 = 2132).

The spelling of 2545344 in words is "two million, five hundred forty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 491 576 648 864 982 1296 1473 1728 1964 2592 2946 3928 4419 5184 5892 7856 8838 11784 13257 15712 17676 23568 26514 31424 35352 39771 47136 53028 70704 79542 94272 106056 141408 159084 212112 282816 318168 424224 636336 848448 1272672 2545344