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4066343424 = 29331131317
BaseRepresentation
bin1111001001011111…
…0111101000000000
3101111101112122112000
43302113313220000
531311440442144
61511255504000
7202524230433
oct36227675000
911441478460
104066343424
1117a7388000
12955988000
134ca5aca90
142a80a381a
1518becc769
hexf25f7a00

4066343424 has 640 divisors, whose sum is σ = 15096533760. Its totient is φ = 1070530560.

The previous prime is 4066343357. The next prime is 4066343429. The reversal of 4066343424 is 4243436604.

4066343424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4066343429) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 239196664 + ... + 239196680.

It is an arithmetic number, because the mean of its divisors is an integer number (23588334).

Almost surely, 24066343424 is an apocalyptic number.

4066343424 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 4066343424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7548266880).

4066343424 is an abundant number, since it is smaller than the sum of its proper divisors (11030190336).

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

4066343424 is a wasteful number, since it uses less digits than its factorization.

4066343424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

The square root of 4066343424 is about 63767.8870906038. The cubic root of 4066343424 is about 1596.1291093473.

The spelling of 4066343424 in words is "four billion, sixty-six million, three hundred forty-three thousand, four hundred twenty-four".