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3230414432 = 25717980567
BaseRepresentation
bin1100000010001100…
…0011011001100000
322100010121001111222
43000203003121200
523103441230212
61252314554212
7143024032610
oct30043033140
98303531458
103230414432
1114085371a3
12761a38968
133c635a33b
14229064a40
1513d909c72
hexc08c3660

3230414432 has 48 divisors (see below), whose sum is σ = 7309128960. Its totient is φ = 1376711808.

The previous prime is 3230414413. The next prime is 3230414437. The reversal of 3230414432 is 2344140323.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3230414437) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 188 + ... + 80379.

It is an arithmetic number, because the mean of its divisors is an integer number (152273520).

Almost surely, 23230414432 is an apocalyptic number.

3230414432 is a gapful number since it is divisible by the number (32) 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 3230414432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3654564480).

3230414432 is an abundant number, since it is smaller than the sum of its proper divisors (4078714528).

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

3230414432 is a wasteful number, since it uses less digits than its factorization.

3230414432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80763 (or 80755 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

The square root of 3230414432 is about 56836.7348815887. The cubic root of 3230414432 is about 1478.2665412016.

Adding to 3230414432 its reverse (2344140323), we get a palindrome (5574554755).

The spelling of 3230414432 in words is "three billion, two hundred thirty million, four hundred fourteen thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 179 224 358 716 1253 1432 2506 2864 5012 5728 10024 20048 40096 80567 161134 322268 563969 644536 1127938 1289072 2255876 2578144 4511752 9023504 14421493 18047008 28842986 57685972 100950451 115371944 201900902 230743888 403801804 461487776 807603608 1615207216 3230414432