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1023400344 = 233192414367
BaseRepresentation
bin111100111111111…
…101100110011000
32122022201010100110
4330333331212120
54043442302334
6245315004320
734234521321
oct7477754630
92568633313
101023400344
1148575690a
122468996a0
13134041245
1499cbd448
155eca4ae9
hex3cffd998

1023400344 has 192 divisors, whose sum is σ = 2872679040. Its totient is φ = 303367680.

The previous prime is 1023400321. The next prime is 1023400361. The reversal of 1023400344 is 4430043201.

It is a self number, because there is not a number n which added to its sum of digits gives 1023400344.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15274599 + ... + 15274665.

It is an arithmetic number, because the mean of its divisors is an integer number (14961870).

Almost surely, 21023400344 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 1023400344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1436339520).

1023400344 is an abundant number, since it is smaller than the sum of its proper divisors (1849278696).

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

1023400344 is a wasteful number, since it uses less digits than its factorization.

1023400344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 1023400344 is about 31990.6290028815. The cubic root of 1023400344 is about 1007.7400517016.

Adding to 1023400344 its reverse (4430043201), we get a palindrome (5453443545).

The spelling of 1023400344 in words is "one billion, twenty-three million, four hundred thousand, three hundred forty-four".