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3940301376 = 26351131743
BaseRepresentation
bin1110101011011100…
…0011101001000000
3101011121101001100000
43222313003221000
531032204121001
61450554200000
7166434003054
oct35267035100
911147331300
103940301376
111742219820
1291b723000
134aa44b99b
14295453c64
15180dd1a86
hexeadc3a40

3940301376 has 336 divisors, whose sum is σ = 13207154688. Its totient is φ = 1153958400.

The previous prime is 3940301357. The next prime is 3940301383. The reversal of 3940301376 is 6731030493.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3940301376.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5302861 + ... + 5303603.

It is an arithmetic number, because the mean of its divisors is an integer number (39307008).

Almost surely, 23940301376 is an apocalyptic number.

3940301376 is a gapful number since it is divisible by the number (36) 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 3940301376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6603577344).

3940301376 is an abundant number, since it is smaller than the sum of its proper divisors (9266853312).

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

3940301376 is a wasteful number, since it uses less digits than its factorization.

3940301376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 812 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The square root of 3940301376 is about 62771.8199194511. The cubic root of 3940301376 is about 1579.4642973724.

The spelling of 3940301376 in words is "three billion, nine hundred forty million, three hundred one thousand, three hundred seventy-six".