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1023400340 = 225173010001
BaseRepresentation
bin111100111111111…
…101100110010100
32122022201010100022
4330333331212110
54043442302330
6245315004312
734234521314
oct7477754624
92568633308
101023400340
11485756906
12246899698
13134041241
1499cbd444
155eca4ae5
hex3cffd994

1023400340 has 24 divisors (see below), whose sum is σ = 2275561512. Its totient is φ = 385280000.

The previous prime is 1023400321. The next prime is 1023400361. The reversal of 1023400340 is 430043201.

1023400340 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 143328784 + 880071556 = 11972^2 + 29666^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

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, 1504661 + ... + 1505340.

It is an arithmetic number, because the mean of its divisors is an integer number (94815063).

Almost surely, 21023400340 is an apocalyptic number.

1023400340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1023400340 is an abundant number, since it is smaller than the sum of its proper divisors (1252161172).

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

1023400340 is a wasteful number, since it uses less digits than its factorization.

1023400340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3010027 (or 3010025 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 1023400340 is about 31990.6289403631. The cubic root of 1023400340 is about 1007.7400503887.

Adding to 1023400340 its reverse (430043201), we get a palindrome (1453443541).

The spelling of 1023400340 in words is "one billion, twenty-three million, four hundred thousand, three hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 3010001 6020002 12040004 15050005 30100010 51170017 60200020 102340034 204680068 255850085 511700170 1023400340