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2431423332 = 2234132272543
BaseRepresentation
bin1001000011101100…
…1001001101100100
320021110011002210000
42100323021031210
514434421021312
61041133501300
7114152520522
oct22073111544
96243132700
102431423332
111038525378
1257a341830
132c996b740
14190cbd312
15e36d1adc
hex90ec9364

2431423332 has 120 divisors (see below), whose sum is σ = 6878019456. Its totient is φ = 744541632.

The previous prime is 2431423327. The next prime is 2431423343. The reversal of 2431423332 is 2333241342.

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 = 2431423296 and 2431423305.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 954853 + ... + 957395.

Almost surely, 22431423332 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 2431423332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3439009728).

2431423332 is an abundant number, since it is smaller than the sum of its proper divisors (4446596124).

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

2431423332 is a wasteful number, since it uses less digits than its factorization.

2431423332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2799 (or 2788 counting only the distinct ones).

The product of its digits is 10368, while the sum is 27.

The square root of 2431423332 is about 49309.4649332154. The cubic root of 2431423332 is about 1344.6838635480.

Adding to 2431423332 its reverse (2333241342), we get a palindrome (4764664674).

The spelling of 2431423332 in words is "two billion, four hundred thirty-one million, four hundred twenty-three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 227 234 324 351 454 468 681 702 908 1053 1362 1404 2043 2106 2543 2724 2951 4086 4212 5086 5902 6129 7629 8172 8853 10172 11804 12258 15258 17706 18387 22887 24516 26559 30516 33059 35412 36774 45774 53118 66118 68661 73548 79677 91548 99177 106236 132236 137322 159354 198354 205983 239031 274644 297531 318708 396708 411966 478062 577261 595062 823932 892593 956124 1154522 1190124 1731783 1785186 2309044 2677779 3463566 3570372 5195349 5355558 6927132 7504393 10390698 10711116 15008786 15586047 20781396 22513179 30017572 31172094 45026358 46758141 62344188 67539537 90052716 93516282 135079074 187032564 202618611 270158148 405237222 607855833 810474444 1215711666 2431423332