Search a number
-
+
1043640000 = 26325413223
BaseRepresentation
bin111110001101001…
…010111011000000
32200201210101221100
4332031022323000
54114132440000
6251320454400
734601536134
oct7615127300
92621711840
101043640000
114961201a7
1225161a400
131382a9780
149c86b3c4
1561951a00
hex3e34aec0

1043640000 has 420 divisors, whose sum is σ = 4043655616. Its totient is φ = 255744000.

The previous prime is 1043639977. The next prime is 1043640001. The reversal of 1043640000 is 463401.

1043640000 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 (18).

It is not an unprimeable number, because it can be changed into a prime (1043640001) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4679889 + ... + 4680111.

Almost surely, 21043640000 is an apocalyptic number.

1043640000 is a gapful number since it is divisible by the number (10) 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 1043640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2021827808).

1043640000 is an abundant number, since it is smaller than the sum of its proper divisors (3000015616).

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

1043640000 is a wasteful number, since it uses less digits than its factorization.

1043640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1043640000 is about 32305.4175023323. The cubic root of 1043640000 is about 1014.3400467773.

The spelling of 1043640000 in words is "one billion, forty-three million, six hundred forty thousand".