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423336144 = 243711472437
BaseRepresentation
bin11001001110111…
…001100011010000
31002111120201000110
4121032321203100
51331333224034
6110001321320
713330204110
oct3116714320
91074521013
10423336144
111a7a64790
12b9936240
136992237a
144031b040
1527272de9
hex193b98d0

423336144 has 160 divisors (see below), whose sum is σ = 1393053696. Its totient is φ = 107573760.

The previous prime is 423336127. The next prime is 423336163. The reversal of 423336144 is 441633324.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 172494 + ... + 174930.

Almost surely, 2423336144 is an apocalyptic number.

423336144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 423336144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696526848).

423336144 is an abundant number, since it is smaller than the sum of its proper divisors (969717552).

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

423336144 is a wasteful number, since it uses less digits than its factorization.

423336144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2513 (or 2507 counting only the distinct ones).

The product of its digits is 20736, while the sum is 30.

The square root of 423336144 is about 20575.1341186394. The cubic root of 423336144 is about 750.8648654049.

Adding to 423336144 its reverse (441633324), we get a palindrome (864969468).

The spelling of 423336144 in words is "four hundred twenty-three million, three hundred thirty-six thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 47 48 56 66 77 84 88 94 112 132 141 154 168 176 188 231 264 282 308 329 336 376 462 517 528 564 616 658 752 924 987 1034 1128 1232 1316 1551 1848 1974 2068 2256 2437 2632 3102 3619 3696 3948 4136 4874 5264 6204 7238 7311 7896 8272 9748 10857 12408 14476 14622 15792 17059 19496 21714 24816 26807 28952 29244 34118 38992 43428 51177 53614 57904 58488 68236 80421 86856 102354 107228 114539 116976 136472 160842 173712 187649 204708 214456 229078 272944 321684 343617 375298 409416 428912 458156 562947 643368 687234 750596 801773 818832 916312 1125894 1259929 1286736 1374468 1501192 1603546 1832624 2251788 2405319 2519858 2748936 3002384 3207092 3779787 4503576 4810638 5039716 5497872 6414184 7559574 8819503 9007152 9621276 10079432 12828368 15119148 17639006 19242552 20158864 26458509 30238296 35278012 38485104 52917018 60476592 70556024 105834036 141112048 211668072 423336144