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673130952 = 233313534523
BaseRepresentation
bin101000000111110…
…010100111001000
31201220121121002000
4220013302213020
52334310142302
6150443311000
722452342624
oct5007624710
91656547060
10673130952
11315a6827a
1216951b460
13a95c2550
1465582184
153e16631c
hex281f29c8

673130952 has 128 divisors (see below), whose sum is σ = 2052086400. Its totient is φ = 203164416.

The previous prime is 673130933. The next prime is 673130959. The reversal of 673130952 is 259031376.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (673130959) 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 31 ways as a sum of consecutive naturals, for example, 146563 + ... + 151085.

It is an arithmetic number, because the mean of its divisors is an integer number (16031925).

Almost surely, 2673130952 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 673130952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1026043200).

673130952 is an abundant number, since it is smaller than the sum of its proper divisors (1378955448).

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

673130952 is a wasteful number, since it uses less digits than its factorization.

673130952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4604 (or 4594 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 673130952 is about 25944.7673337033. The cubic root of 673130952 is about 876.3949242015.

The spelling of 673130952 in words is "six hundred seventy-three million, one hundred thirty thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 53 54 72 78 104 106 108 117 156 159 212 216 234 312 318 351 424 468 477 636 689 702 936 954 1272 1378 1404 1431 1908 2067 2756 2808 2862 3816 4134 4523 5512 5724 6201 8268 9046 11448 12402 13569 16536 18092 18603 24804 27138 36184 37206 40707 49608 54276 58799 74412 81414 108552 117598 122121 148824 162828 176397 235196 239719 244242 325656 352794 470392 479438 488484 529191 705588 719157 958876 976968 1058382 1411176 1438314 1587573 1917752 2116764 2157471 2876628 3116347 3175146 4233528 4314942 5753256 6232694 6350292 6472413 8629884 9349041 12465388 12700584 12944826 17259768 18698082 24930776 25889652 28047123 37396164 51779304 56094246 74792328 84141369 112188492 168282738 224376984 336565476 673130952