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744580369 = 13220992
BaseRepresentation
bin101100011000010…
…110010100010001
31220220001121020201
4230120112110101
53011103032434
6201514535201
724310554151
oct5430262421
91826047221
10744580369
11352329285
12189437501
13bb34aa00
1470c60761
154557b614
hex2c616511

744580369 has 9 divisors (see below), whose sum is σ = 806645883. Its totient is φ = 686977512.

The previous prime is 744580349. The next prime is 744580373. The reversal of 744580369 is 963085447.

The square root of 744580369 is 27287.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 110145025 + 634435344 = 10495^2 + 25188^2 .

It is not a de Polignac number, because 744580369 - 219 = 744056081 is a prime.

It is a super-2 number, since 2×7445803692 = 1108799851800352322, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (744580349) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 353682 + ... + 355780.

Almost surely, 2744580369 is an apocalyptic number.

744580369 is the 27287-th square number.

744580369 is the 13644-th centered octagonal number.

It is an amenable number.

744580369 is a deficient number, since it is larger than the sum of its proper divisors (62065514).

744580369 is an frugal number, since it uses more digits than its factorization.

744580369 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4224 (or 2112 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 46.

The cubic root of 744580369 is about 906.3665319257.

The spelling of 744580369 in words is "seven hundred forty-four million, five hundred eighty thousand, three hundred sixty-nine".

Divisors: 1 13 169 2099 27287 354731 4405801 57275413 744580369