Search a number
-
+
423203928 = 233737103661
BaseRepresentation
bin11001001110011…
…001010001011000
31002111022222122120
4121032121101120
51331320011203
6105554421240
713326113460
oct3116312130
91074288576
10423203928
111a7984414
12b9891820
13698a7134
14402c4ba0
1527248b53
hex19399458

423203928 has 128 divisors (see below), whose sum is σ = 1255787520. Its totient is φ = 116328960.

The previous prime is 423203923. The next prime is 423203941. The reversal of 423203928 is 829302324.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (423203923) 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, 639918 + ... + 640578.

It is an arithmetic number, because the mean of its divisors is an integer number (9810840).

Almost surely, 2423203928 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 423203928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627893760).

423203928 is an abundant number, since it is smaller than the sum of its proper divisors (832583592).

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

423203928 is a wasteful number, since it uses less digits than its factorization.

423203928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 817 (or 813 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 423203928 is about 20571.9208631571. The cubic root of 423203928 is about 750.7866874309.

The spelling of 423203928 in words is "four hundred twenty-three million, two hundred three thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 37 42 56 74 84 103 111 148 168 206 222 259 296 309 412 444 518 618 661 721 777 824 888 1036 1236 1322 1442 1554 1983 2072 2163 2472 2644 2884 3108 3811 3966 4326 4627 5288 5768 6216 7622 7932 8652 9254 11433 13881 15244 15864 17304 18508 22866 24457 26677 27762 30488 37016 45732 48914 53354 55524 68083 73371 80031 91464 97828 106708 111048 136166 146742 160062 171199 195656 204249 213416 272332 293484 320124 342398 408498 476581 513597 544664 586968 640248 684796 816996 953162 1027194 1369592 1429743 1633992 1906324 2054388 2519071 2859486 3812648 4108776 5038142 5718972 7557213 10076284 11437944 15114426 17633497 20152568 30228852 35266994 52900491 60457704 70533988 105800982 141067976 211601964 423203928