Search a number
-
+
740928400 = 245213612
BaseRepresentation
bin101100001010011…
…010101110010000
31220122012001200121
4230022122232100
53004134202100
6201304400024
724234534052
oct5412325620
91818161617
10740928400
11350264523
12188176014
13ba66c694
147058d8d2
15450a951a
hex2c29ab90

740928400 has 45 divisors (see below), whose sum is σ = 1781389363. Its totient is φ = 296153600.

The previous prime is 740928359. The next prime is 740928401. The reversal of 740928400 is 4829047.

It is a happy number.

The square root of 740928400 is 27220.

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

It can be written as a sum of positive squares in 4 ways, for example, as 171819664 + 569108736 = 13108^2 + 23856^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (740928401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 543720 + ... + 545080.

Almost surely, 2740928400 is an apocalyptic number.

740928400 is the 27220-th square number.

It is an amenable number.

740928400 is an abundant number, since it is smaller than the sum of its proper divisors (1040460963).

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

740928400 is an equidigital number, since it uses as much as digits as its factorization.

740928400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2740 (or 1368 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The cubic root of 740928400 is about 904.8822735867.

The spelling of 740928400 in words is "seven hundred forty million, nine hundred twenty-eight thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 1361 2722 5444 6805 10888 13610 21776 27220 34025 54440 68050 108880 136100 272200 544400 1852321 3704642 7409284 9261605 14818568 18523210 29637136 37046420 46308025 74092840 92616050 148185680 185232100 370464200 740928400