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3243420432 = 2432722914051
BaseRepresentation
bin1100000101010010…
…1010101100010000
322101001001211101200
43001110222230100
523120303423212
61253501431200
7143242422150
oct30124525420
98331054350
103243420432
11141490a85a
1276626b500
133c8c621b5
1422aa8c760
1513eb286dc
hexc152ab10

3243420432 has 120 divisors (see below), whose sum is σ = 10419839040. Its totient is φ = 922579200.

The previous prime is 3243420431. The next prime is 3243420437. The reversal of 3243420432 is 2340243423.

It is a junction number, because it is equal to n+sod(n) for n = 3243420396 and 3243420405.

It is not an unprimeable number, because it can be changed into a prime (3243420431) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 223807 + ... + 237857.

It is an arithmetic number, because the mean of its divisors is an integer number (86831992).

Almost surely, 23243420432 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 3243420432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5209919520).

3243420432 is an abundant number, since it is smaller than the sum of its proper divisors (7176418608).

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

3243420432 is a wasteful number, since it uses less digits than its factorization.

3243420432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14301 (or 14292 counting only the distinct ones).

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

The square root of 3243420432 is about 56951.0353900612. The cubic root of 3243420432 is about 1480.2477720065.

Adding to 3243420432 its reverse (2340243423), we get a palindrome (5583663855).

The spelling of 3243420432 in words is "three billion, two hundred forty-three million, four hundred twenty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 229 252 336 458 504 687 916 1008 1374 1603 1832 2061 2748 3206 3664 4122 4809 5496 6412 8244 9618 10992 12824 14051 14427 16488 19236 25648 28102 28854 32976 38472 42153 56204 57708 76944 84306 98357 112408 115416 126459 168612 196714 224816 230832 252918 295071 337224 393428 505836 590142 674448 786856 885213 1011672 1180284 1573712 1770426 2023344 2360568 3217679 3540852 4721136 6435358 7081704 9653037 12870716 14163408 19306074 22523753 25741432 28959111 38612148 45047506 51482864 57918222 67571259 77224296 90095012 115836444 135142518 154448592 180190024 202713777 231672888 270285036 360380048 405427554 463345776 540570072 810855108 1081140144 1621710216 3243420432