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4004343420 = 22357114312011
BaseRepresentation
bin1110111010101101…
…0110111001111100
3101100001212201111120
43232223112321330
531200102442140
61501202550540
7201142233420
oct35653267174
911301781446
104004343420
111775390530
12939068450
134ba7b269c
1429db64b80
151868321d0
hexeead6e7c

4004343420 has 192 divisors, whose sum is σ = 14018199552. Its totient is φ = 829728000.

The previous prime is 4004343419. The next prime is 4004343437. The reversal of 4004343420 is 243434004.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1990215 + ... + 1992225.

It is an arithmetic number, because the mean of its divisors is an integer number (73011456).

Almost surely, 24004343420 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 4004343420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7009099776).

4004343420 is an abundant number, since it is smaller than the sum of its proper divisors (10013856132).

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

4004343420 is a wasteful number, since it uses less digits than its factorization.

4004343420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2472 (or 2470 counting only the distinct ones).

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

The square root of 4004343420 is about 63279.8816370574. The cubic root of 4004343420 is about 1587.9754065862.

Adding to 4004343420 its reverse (243434004), we get a palindrome (4247777424).

The spelling of 4004343420 in words is "four billion, four million, three hundred forty-three thousand, four hundred twenty".