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1023241424 = 241710934513
BaseRepresentation
bin111100111111010…
…110110011010000
32122022102001100112
4330333112303100
54043422211144
6245311340452
734233260102
oct7477266320
92568361315
101023241424
11485658477
12246821728
13133cb6aca
1499c7b572
155ec7299e
hex3cfd6cd0

1023241424 has 40 divisors (see below), whose sum is σ = 2118469320. Its totient is φ = 477093888.

The previous prime is 1023241399. The next prime is 1023241477. The reversal of 1023241424 is 4241423201.

It can be written as a sum of positive squares in 4 ways, for example, as 588935824 + 434305600 = 24268^2 + 20840^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1023241424.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12392 + ... + 46904.

It is an arithmetic number, because the mean of its divisors is an integer number (52961733).

Almost surely, 21023241424 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 1023241424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1059234660).

1023241424 is an abundant number, since it is smaller than the sum of its proper divisors (1095227896).

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

1023241424 is a wasteful number, since it uses less digits than its factorization.

1023241424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34647 (or 34641 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 1023241424 is about 31988.1450540665. The cubic root of 1023241424 is about 1007.6878862773.

Adding to 1023241424 its reverse (4241423201), we get a palindrome (5264664625).

The spelling of 1023241424 in words is "one billion, twenty-three million, two hundred forty-one thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 17 34 68 109 136 218 272 436 872 1744 1853 3706 7412 14824 29648 34513 69026 138052 276104 552208 586721 1173442 2346884 3761917 4693768 7523834 9387536 15047668 30095336 60190672 63952589 127905178 255810356 511620712 1023241424