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3946423320 = 2332578111931
BaseRepresentation
bin1110101100111001…
…1010010000011000
3101012000220002001200
43223032122100120
531040241021240
61451333314200
7166540021230
oct35316322030
911160802050
103946423320
111745720284
12921795960
134ab7b3338
142961a8cc0
151816e0930
hexeb39a418

3946423320 has 192 divisors, whose sum is σ = 14683818240. Its totient is φ = 900460800.

The previous prime is 3946423303. The next prime is 3946423321. The reversal of 3946423320 is 233246493.

3946423320 is a `hidden beast` number, since 3 + 9 + 4 + 642 + 3 + 3 + 2 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3946423321) 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, 2042755 + ... + 2044685.

It is an arithmetic number, because the mean of its divisors is an integer number (76478220).

Almost surely, 23946423320 is an apocalyptic number.

3946423320 is a gapful number since it is divisible by the number (30) 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 3946423320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7341909120).

3946423320 is an abundant number, since it is smaller than the sum of its proper divisors (10737394920).

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

3946423320 is a wasteful number, since it uses less digits than its factorization.

3946423320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2766 (or 2759 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

The square root of 3946423320 is about 62820.5644673780. The cubic root of 3946423320 is about 1580.2818650049.

The spelling of 3946423320 in words is "three billion, nine hundred forty-six million, four hundred twenty-three thousand, three hundred twenty".