Search a number
-
+
3943423440 = 2438511683
BaseRepresentation
bin1110101100001011…
…1101110111010000
3101011211020200000000
43223002331313100
531034004022230
61451145130000
7166502355225
oct35302756720
911154220000
103943423440
111743a61440
12920789900
134aaca2a68
14295a2794c
151812ebb60
hexeb0bddd0

3943423440 has 360 divisors, whose sum is σ = 15024136608. Its totient is φ = 954581760.

The previous prime is 3943423397. The next prime is 3943423447. The reversal of 3943423440 is 443243493.

It is a happy number.

3943423440 is a `hidden beast` number, since 394 + 34 + 234 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a junction number, because it is equal to n+sod(n) for n = 3943423395 and 3943423404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3943423447) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5773339 + ... + 5774021.

Almost surely, 23943423440 is an apocalyptic number.

3943423440 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 3943423440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7512068304).

3943423440 is an abundant number, since it is smaller than the sum of its proper divisors (11080713168).

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

3943423440 is an equidigital number, since it uses as much as digits as its factorization.

3943423440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 731 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

The square root of 3943423440 is about 62796.6833519096. The cubic root of 3943423440 is about 1579.8813455733.

The spelling of 3943423440 in words is "three billion, nine hundred forty-three million, four hundred twenty-three thousand, four hundred forty".