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1023031296 = 211347881
BaseRepresentation
bin111100111110100…
…011100000000000
32122022000101010000
4330332203200000
54043344000141
6245303040000
734231423350
oct7476434000
92568011100
101023031296
11485524611
12246740000
13133c42281
1499c24b60
155ec305b6
hex3cfa3800

1023031296 has 240 divisors, whose sum is σ = 3496212720. Its totient is φ = 291962880.

The previous prime is 1023031223. The next prime is 1023031333. The reversal of 1023031296 is 6921303201.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1160776 + ... + 1161656.

It is an arithmetic number, because the mean of its divisors is an integer number (14567553).

Almost surely, 21023031296 is an apocalyptic number.

1023031296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1023031296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1748106360).

1023031296 is an abundant number, since it is smaller than the sum of its proper divisors (2473181424).

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

1023031296 is an frugal number, since it uses more digits than its factorization.

1023031296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 922 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 1023031296 is about 31984.8604186418. The cubic root of 1023031296 is about 1007.6189035554.

Adding to 1023031296 its reverse (6921303201), we get a palindrome (7944334497).

The spelling of 1023031296 in words is "one billion, twenty-three million, thirty-one thousand, two hundred ninety-six".