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4323004224 = 2637211371129
BaseRepresentation
bin1000000011010101…
…11100111101000000
3102011021111100221120
410001222330331000
532323142113344
61552544552240
7212061633600
oct40152747500
912137440846
104323004224
111919250070
12a07922680
1353b815186
142d01d4c00
151a47ca219
hex101abcf40

4323004224 has 336 divisors, whose sum is σ = 14920447680. Its totient is φ = 1091543040.

The previous prime is 4323004223. The next prime is 4323004237. The reversal of 4323004224 is 4224003234.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a junction number, because it is equal to n+sod(n) for n = 4323004194 and 4323004203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4323004223) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3828492 + ... + 3829620.

Almost surely, 24323004224 is an apocalyptic number.

4323004224 is a gapful number since it is divisible by the number (44) 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 4323004224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7460223840).

4323004224 is an abundant number, since it is smaller than the sum of its proper divisors (10597443456).

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

4323004224 is a wasteful number, since it uses less digits than its factorization.

4323004224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1206 (or 1189 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

The square root of 4323004224 is about 65749.5568350084. The cubic root of 4323004224 is about 1629.0280157419.

Adding to 4323004224 its reverse (4224003234), we get a palindrome (8547007458).

The spelling of 4323004224 in words is "four billion, three hundred twenty-three million, four thousand, two hundred twenty-four".