Search a number
-
+
1027323648 = 28341337103
BaseRepresentation
bin111101001110111…
…011011100000000
32122121002110010000
4331032323130000
54100443324043
6245535040000
734313051451
oct7516733400
92577073100
101027323648
1148799650a
12248070000
13134ab5c20
149a621128
15602cc2d3
hex3d3bb700

1027323648 has 360 divisors, whose sum is σ = 3420985568. Its totient is φ = 304570368.

The previous prime is 1027323629. The next prime is 1027323653. The reversal of 1027323648 is 8463237201.

It is a happy number.

1027323648 is a `hidden beast` number, since 1 + 0 + 2 + 7 + 3 + 2 + 3 + 648 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9973965 + ... + 9974067.

Almost surely, 21027323648 is an apocalyptic number.

1027323648 is a gapful number since it is divisible by the number (18) 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 1027323648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1710492784).

1027323648 is an abundant number, since it is smaller than the sum of its proper divisors (2393661920).

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

1027323648 is a wasteful number, since it uses less digits than its factorization.

1027323648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 1027323648 is about 32051.8899286766. The cubic root of 1027323648 is about 1009.0261658707.

The spelling of 1027323648 in words is "one billion, twenty-seven million, three hundred twenty-three thousand, six hundred forty-eight".