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3940462080 = 2934531613
BaseRepresentation
bin1110101011011110…
…1010111000000000
3101011121200012210000
43222313222320000
531032224241310
61451001440000
7166435242432
oct35267527000
911147605700
103940462080
111742319535
1291b7a0000
134aa4a6b89
14295496652
15180e144c0
hexeadeae00

3940462080 has 400 divisors, whose sum is σ = 14592530304. Its totient is φ = 1015234560.

The previous prime is 3940462069. The next prime is 3940462081. The reversal of 3940462080 is 802640493.

It is a happy number.

3940462080 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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3940462081) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6427854 + ... + 6428466.

Almost surely, 23940462080 is an apocalyptic number.

3940462080 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 3940462080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7296265152).

3940462080 is an abundant number, since it is smaller than the sum of its proper divisors (10652068224).

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

3940462080 is an equidigital number, since it uses as much as digits as its factorization.

3940462080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 679 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 3940462080 is about 62773.0999712456. The cubic root of 3940462080 is about 1579.4857697384.

The spelling of 3940462080 in words is "three billion, nine hundred forty million, four hundred sixty-two thousand, eighty".