Search a number
-
+
623274672 = 243172832699
BaseRepresentation
bin100101001001100…
…110101010110000
31121102210122010010
4211021212222300
52234024242142
6141502534520
721305514216
oct4511465260
91542718103
10623274672
1129a905539
12154897440
139c1876a7
145cac4cb6
1539ab8e9c
hex25266ab0

623274672 has 80 divisors (see below), whose sum is σ = 1711497600. Its totient is φ = 194774016.

The previous prime is 623274629. The next prime is 623274683. The reversal of 623274672 is 276472326.

It is a self number, because there is not a number n which added to its sum of digits gives 623274672.

It is an unprimeable number.

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, 229579 + ... + 232277.

It is an arithmetic number, because the mean of its divisors is an integer number (21393720).

Almost surely, 2623274672 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 623274672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (855748800).

623274672 is an abundant number, since it is smaller than the sum of its proper divisors (1088222928).

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

623274672 is a wasteful number, since it uses less digits than its factorization.

623274672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3010 (or 3004 counting only the distinct ones).

The product of its digits is 169344, while the sum is 39.

The square root of 623274672 is about 24965.4695930199. The cubic root of 623274672 is about 854.2005097876.

The spelling of 623274672 in words is "six hundred twenty-three million, two hundred seventy-four thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 272 283 408 566 816 849 1132 1698 2264 2699 3396 4528 4811 5398 6792 8097 9622 10796 13584 14433 16194 19244 21592 28866 32388 38488 43184 45883 57732 64776 76976 91766 115464 129552 137649 183532 230928 275298 367064 550596 734128 763817 1101192 1527634 2202384 2291451 3055268 4582902 6110536 9165804 12221072 12984889 18331608 25969778 36663216 38954667 51939556 77909334 103879112 155818668 207758224 311637336 623274672