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1023313144 = 23737493877
BaseRepresentation
bin111100111111101…
…000010011111000
32122022112200201211
4330333220103320
54043432010034
6245313052504
734234006150
oct7477502370
92568480654
101023313144
114856a7347
12246857134
13134010649
1499c99760
155ec88d64
hex3cfe84f8

1023313144 has 32 divisors (see below), whose sum is σ = 2252083680. Its totient is φ = 426708864.

The previous prime is 1023313141. The next prime is 1023313201. The reversal of 1023313144 is 4413133201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1023313141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 244867 + ... + 249010.

It is an arithmetic number, because the mean of its divisors is an integer number (70377615).

Almost surely, 21023313144 is an apocalyptic number.

1023313144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1023313144 is an abundant number, since it is smaller than the sum of its proper divisors (1228770536).

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

1023313144 is a wasteful number, since it uses less digits than its factorization.

1023313144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493927 (or 493923 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 1023313144 is about 31989.2660747320. The cubic root of 1023313144 is about 1007.7114290064.

Adding to 1023313144 its reverse (4413133201), we get a palindrome (5436446345).

The spelling of 1023313144 in words is "one billion, twenty-three million, three hundred thirteen thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 28 37 56 74 148 259 296 518 1036 2072 493877 987754 1975508 3457139 3951016 6914278 13828556 18273449 27657112 36546898 73093796 127914143 146187592 255828286 511656572 1023313144