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673290744 = 233713130593
BaseRepresentation
bin101000001000011…
…001100111111000
31201220220201021020
4220020121213320
52334330300434
6150450542440
722453606530
oct5010314770
91656821236
10673290744
11316067335
12169597a20
13a964a1b9
14655c44c0
153e198849
hex282199f8

673290744 has 64 divisors (see below), whose sum is σ = 1938435840. Its totient is φ = 190894080.

The previous prime is 673290731. The next prime is 673290749. The reversal of 673290744 is 447092376.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 673290696 and 673290705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (673290749) 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 15 ways as a sum of consecutive naturals, for example, 6712 + ... + 37304.

It is an arithmetic number, because the mean of its divisors is an integer number (30288060).

Almost surely, 2673290744 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 673290744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (969217920).

673290744 is an abundant number, since it is smaller than the sum of its proper divisors (1265145096).

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

673290744 is a wasteful number, since it uses less digits than its factorization.

673290744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30740 (or 30736 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 42.

The square root of 673290744 is about 25947.8466158562. The cubic root of 673290744 is about 876.4642667355.

The spelling of 673290744 in words is "six hundred seventy-three million, two hundred ninety thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 131 168 262 393 524 786 917 1048 1572 1834 2751 3144 3668 5502 7336 11004 22008 30593 61186 91779 122372 183558 214151 244744 367116 428302 642453 734232 856604 1284906 1713208 2569812 4007683 5139624 8015366 12023049 16030732 24046098 28053781 32061464 48092196 56107562 84161343 96184392 112215124 168322686 224430248 336645372 673290744