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424243332 = 22343743823
BaseRepresentation
bin11001010010010…
…111000010000100
31002120021210110000
4121102113002010
51332101241312
6110033001300
713341003012
oct3122270204
91076253400
10424243332
111a8524327
12ba0b3230
1369b7c276
14404b58b2
15273a1adc
hex19497084

424243332 has 120 divisors (see below), whose sum is σ = 1166935616. Its totient is φ = 134229312.

The previous prime is 424243321. The next prime is 424243357. The reversal of 424243332 is 233342424.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 = 424243296 and 424243305.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 515073 + ... + 515895.

Almost surely, 2424243332 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 424243332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583467808).

424243332 is an abundant number, since it is smaller than the sum of its proper divisors (742692284).

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

424243332 is a wasteful number, since it uses less digits than its factorization.

424243332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 919 (or 908 counting only the distinct ones).

The product of its digits is 13824, while the sum is 27.

The square root of 424243332 is about 20597.1680577695. The cubic root of 424243332 is about 751.4008379085.

Adding to 424243332 its reverse (233342424), we get a palindrome (657585756).

It can be divided in two parts, 4242 and 43332, that added together give a palindrome (47574).

The spelling of 424243332 in words is "four hundred twenty-four million, two hundred forty-three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 43 54 74 81 86 108 111 129 148 162 172 222 258 324 333 387 444 516 666 774 823 999 1161 1332 1548 1591 1646 1998 2322 2469 2997 3182 3292 3483 3996 4644 4773 4938 5994 6364 6966 7407 9546 9876 11988 13932 14319 14814 19092 22221 28638 29628 30451 35389 42957 44442 57276 60902 66663 70778 85914 88884 91353 106167 121804 128871 133326 141556 171828 182706 212334 257742 266652 274059 318501 365412 424668 515484 548118 637002 822177 955503 1096236 1274004 1309393 1644354 1911006 2466531 2618786 2866509 3288708 3822012 3928179 4933062 5237572 5733018 7856358 9866124 11466036 11784537 15712716 23569074 35353611 47138148 70707222 106060833 141414444 212121666 424243332