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1024314023 = 67101229661
BaseRepresentation
bin111101000011011…
…100101010100111
32122101102112200102
4331003130222213
54044211022043
6245350334315
734245345155
oct7503345247
92571375612
101024314023
11486220317
1224705a39b
131342a1095
149a07a3d5
155edd56b8
hex3d0dcaa7

1024314023 has 16 divisors (see below), whose sum is σ = 1056075360. Its totient is φ = 993168000.

The previous prime is 1024314007. The next prime is 1024314037. The reversal of 1024314023 is 3204134201.

It is a cyclic number.

It is not a de Polignac number, because 1024314023 - 24 = 1024314007 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1024313986 and 1024314004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1024314523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1549313 + ... + 1549973.

It is an arithmetic number, because the mean of its divisors is an integer number (66004710).

Almost surely, 21024314023 is an apocalyptic number.

1024314023 is a deficient number, since it is larger than the sum of its proper divisors (31761337).

1024314023 is a wasteful number, since it uses less digits than its factorization.

1024314023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1058.

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 1024314023 is about 32004.9062332637. The cubic root of 1024314023 is about 1008.0398617262.

Adding to 1024314023 its reverse (3204134201), we get a palindrome (4228448224).

The spelling of 1024314023 in words is "one billion, twenty-four million, three hundred fourteen thousand, twenty-three".

Divisors: 1 67 101 229 661 6767 15343 23129 44287 66761 151369 1549643 4472987 10141723 15288269 1024314023