Search a number
-
+
672313041 = 34432672
BaseRepresentation
bin101000000100101…
…010111011010001
31201212002001010000
4220010222323101
52334103004131
6150414000213
722442365221
oct5004527321
91655061100
10672313041
11315559814
121691a6069
13a939718a
146540c081
153e053ce6
hex2812aed1

672313041 has 45 divisors (see below), whose sum is σ = 1043794521. Its totient is φ = 431251128.

The previous prime is 672313009. The next prime is 672313067. The reversal of 672313041 is 140313276.

The square root of 672313041 is 25929.

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

It is not a de Polignac number, because 672313041 - 25 = 672313009 is a prime.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 672312996 and 672313014.

It is not an unprimeable number, because it can be changed into a prime (672313001) 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 44 ways as a sum of consecutive naturals, for example, 10034490 + ... + 10034556.

Almost surely, 2672313041 is an apocalyptic number.

672313041 is the 25929-th square number.

672313041 is the 12965-th centered octagonal number.

It is an amenable number.

672313041 is a deficient number, since it is larger than the sum of its proper divisors (371481480).

672313041 is an frugal number, since it uses more digits than its factorization.

672313041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The cubic root of 672313041 is about 876.0398156983.

The spelling of 672313041 in words is "six hundred seventy-two million, three hundred thirteen thousand, forty-one".

Divisors: 1 3 9 27 43 67 81 129 201 387 603 1161 1809 1849 2881 3483 4489 5427 5547 8643 13467 16641 25929 40401 49923 77787 121203 123883 149769 193027 233361 363609 371649 579081 1114947 1737243 3344841 5211729 8300161 10034523 15635187 24900483 74701449 224104347 672313041