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2742304 = 2517712
BaseRepresentation
bin1010011101100000100000
312011022201211
422131200200
51200223204
6134435504
732211025
oct12354040
95138654
102742304
111603374
12b02b94
13750286
1451554c
15392804
hex29d820

2742304 has 36 divisors (see below), whose sum is σ = 5798142. Its totient is φ = 1272320.

The previous prime is 2742293. The next prime is 2742317. The reversal of 2742304 is 4032472.

It can be written as a sum of positive squares in only one way, i.e., 2016400 + 725904 = 1420^2 + 852^2 .

It is a d-powerful number, because it can be written as 219 + 76 + 4 + 221 + 37 + 0 + 45 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 38589 + ... + 38659.

22742304 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 2742304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2899071).

2742304 is an abundant number, since it is smaller than the sum of its proper divisors (3055838).

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

2742304 is an equidigital number, since it uses as much as digits as its factorization.

2742304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 22.

The square root of 2742304 is about 1655.9903381361. The cubic root of 2742304 is about 139.9711505180.

Adding to 2742304 its reverse (4032472), we get a palindrome (6774776).

The spelling of 2742304 in words is "two million, seven hundred forty-two thousand, three hundred four".

Divisors: 1 2 4 8 16 17 32 34 68 71 136 142 272 284 544 568 1136 1207 2272 2414 4828 5041 9656 10082 19312 20164 38624 40328 80656 85697 161312 171394 342788 685576 1371152 2742304