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1022040344 = 231323720431
BaseRepresentation
bin111100111010110…
…001100100011000
32122020011000210002
4330322301210120
54043120242334
6245225512132
734220125313
oct7472614430
92566130702
101022040344
11484a08046
12246342648
13133986200
1499a4797a
155ead6b7e
hex3ceb1918

1022040344 has 48 divisors (see below), whose sum is σ = 2131261920. Its totient is φ = 458939520.

The previous prime is 1022040281. The next prime is 1022040347. The reversal of 1022040344 is 4430402201.

1022040344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022040347) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39809 + ... + 60239.

It is an arithmetic number, because the mean of its divisors is an integer number (44401290).

Almost surely, 21022040344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1022040344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1065630960).

1022040344 is an abundant number, since it is smaller than the sum of its proper divisors (1109221576).

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

1022040344 is a wasteful number, since it uses less digits than its factorization.

1022040344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20500 (or 20483 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 1022040344 is about 31969.3657115683. The cubic root of 1022040344 is about 1007.2934574872.

Adding to 1022040344 its reverse (4430402201), we get a palindrome (5452442545).

The spelling of 1022040344 in words is "one billion, twenty-two million, forty thousand, three hundred forty-four".

Divisors: 1 2 4 8 13 26 37 52 74 104 148 169 296 338 481 676 962 1352 1924 3848 6253 12506 20431 25012 40862 50024 81724 163448 265603 531206 755947 1062412 1511894 2124824 3023788 3452839 6047576 6905678 9827311 13811356 19654622 27622712 39309244 78618488 127755043 255510086 511020172 1022040344