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423311424 = 26317532447
BaseRepresentation
bin11001001110110…
…011100001000000
31002111112110002220
4121032303201000
51331331431144
6110001011040
713330042044
oct3116634100
91074473086
10423311424
111a7a48158
12b9923a80
1369914043
1440312024
152726a919
hex193b3840

423311424 has 112 divisors (see below), whose sum is σ = 1208763648. Its totient is φ = 130244608.

The previous prime is 423311423. The next prime is 423311459. The reversal of 423311424 is 424113324.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a junction number, because it is equal to n+sod(n) for n = 423311394 and 423311403.

It is not an unprimeable number, because it can be changed into a prime (423311423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 171769 + ... + 174215.

Almost surely, 2423311424 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 423311424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604381824).

423311424 is an abundant number, since it is smaller than the sum of its proper divisors (785452224).

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

423311424 is a wasteful number, since it uses less digits than its factorization.

423311424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2532 (or 2522 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 423311424 is about 20574.5333847453. The cubic root of 423311424 is about 750.8502499580.

Adding to 423311424 its reverse (424113324), we get a palindrome (847424748).

The spelling of 423311424 in words is "four hundred twenty-three million, three hundred eleven thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 53 64 68 96 102 106 136 159 192 204 212 272 318 408 424 544 636 816 848 901 1088 1272 1632 1696 1802 2447 2544 2703 3264 3392 3604 4894 5088 5406 7208 7341 9788 10176 10812 14416 14682 19576 21624 28832 29364 39152 41599 43248 57664 58728 78304 83198 86496 117456 124797 129691 156608 166396 172992 234912 249594 259382 332792 389073 469824 499188 518764 665584 778146 998376 1037528 1331168 1556292 1996752 2075056 2204747 2662336 3112584 3993504 4150112 4409494 6225168 6614241 7987008 8300224 8818988 12450336 13228482 17637976 24900672 26456964 35275952 52913928 70551904 105827856 141103808 211655712 423311424