Search a number
-
+
1022034240 = 26335294079
BaseRepresentation
bin111100111010110…
…000000101000000
32122020010201102000
4330322300011000
54043120043430
6245225424000
734220101443
oct7472600500
92566121360
101022034240
11484a034a7
1224633b000
131339834b6
1499a4565a
155ead4e60
hex3ceb0140

1022034240 has 224 divisors, whose sum is σ = 3730752000. Its totient is φ = 263079936.

The previous prime is 1022034173. The next prime is 1022034241. The reversal of 1022034240 is 424302201.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022034241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 248521 + ... + 252599.

Almost surely, 21022034240 is an apocalyptic number.

1022034240 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 1022034240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1865376000).

1022034240 is an abundant number, since it is smaller than the sum of its proper divisors (2708717760).

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

1022034240 is a wasteful number, since it uses less digits than its factorization.

1022034240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4134 (or 4118 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 1022034240 is about 31969.2702450337. The cubic root of 1022034240 is about 1007.2914521745.

Adding to 1022034240 its reverse (424302201), we get a palindrome (1446336441).

The spelling of 1022034240 in words is "one billion, twenty-two million, thirty-four thousand, two hundred forty".