Search a number
-
+
2744352 = 253213733
BaseRepresentation
bin1010011110000000100000
312011102112200
422132000200
51200304402
6134453200
732220012
oct12360040
95142480
102744352
111604966
12b04200
137511a0
145161b2
1539321c
hex29e020

2744352 has 72 divisors (see below), whose sum is σ = 8416044. Its totient is φ = 843264.

The previous prime is 2744351. The next prime is 2744359. The reversal of 2744352 is 2534472.

It can be written as a sum of positive squares in 2 ways, for example, as 2702736 + 41616 = 1644^2 + 204^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (2744351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3378 + ... + 4110.

22744352 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 2744352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4208022).

2744352 is an abundant number, since it is smaller than the sum of its proper divisors (5671692).

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

2744352 is a wasteful number, since it uses less digits than its factorization.

2744352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 762 (or 751 counting only the distinct ones).

The product of its digits is 6720, while the sum is 27.

The square root of 2744352 is about 1656.6085838242. The cubic root of 2744352 is about 140.0059861386.

It can be divided in two parts, 27443 and 52, that added together give a triangular number (27495 = T234).

The spelling of 2744352 in words is "two million, seven hundred forty-four thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 733 936 1248 1466 1872 2199 2932 3744 4398 5864 6597 8796 9529 11728 13194 17592 19058 23456 26388 28587 35184 38116 52776 57174 70368 76232 85761 105552 114348 152464 171522 211104 228696 304928 343044 457392 686088 914784 1372176 2744352