Search a number
-
+
673745296 = 2473293419
BaseRepresentation
bin101000001010001…
…000100110010000
31201221202210210111
4220022020212100
52334434322141
6150504411104
722460512000
oct5012104620
91657683714
10673745296
113163478a4
12169776a94
13a9779073
14656a2000
153e238381
hex28288990

673745296 has 80 divisors (see below), whose sum is σ = 1531152000. Its totient is φ = 287075712.

The previous prime is 673745273. The next prime is 673745297. The reversal of 673745296 is 692547376.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (673745297) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1607775 + ... + 1608193.

It is an arithmetic number, because the mean of its divisors is an integer number (19139400).

Almost surely, 2673745296 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 673745296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (765576000).

673745296 is an abundant number, since it is smaller than the sum of its proper divisors (857406704).

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

673745296 is a wasteful number, since it uses less digits than its factorization.

673745296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 741 (or 721 counting only the distinct ones).

The product of its digits is 1905120, while the sum is 49.

The square root of 673745296 is about 25956.6040922151. The cubic root of 673745296 is about 876.6614618636.

It can be divided in two parts, 673745 and 296, that added together give a square (674041 = 8212).

The spelling of 673745296 in words is "six hundred seventy-three million, seven hundred forty-five thousand, two hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 293 343 392 419 586 686 784 838 1172 1372 1676 2051 2344 2744 2933 3352 4102 4688 5488 5866 6704 8204 11732 14357 16408 20531 23464 28714 32816 41062 46928 57428 82124 100499 114856 122767 143717 164248 200998 229712 245534 287434 328496 401996 491068 574868 803992 859369 982136 1149736 1607984 1718738 1964272 2299472 3437476 6015583 6874952 12031166 13749904 24062332 42109081 48124664 84218162 96249328 168436324 336872648 673745296