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1023442392 = 233731319463
BaseRepresentation
bin111101000000000…
…111110111011000
32122022210021000210
4331000013313120
54044000124032
6245315531120
734235055030
oct7500076730
92568707023
101023442392
11485785465
122468b9aa0
1313405741b
1499cd08c0
155ecb22cc
hex3d007dd8

1023442392 has 64 divisors (see below), whose sum is σ = 2933614080. Its totient is φ = 291462912.

The previous prime is 1023442333. The next prime is 1023442423. The reversal of 1023442392 is 2932443201.

1023442392 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42853 + ... + 62315.

It is an arithmetic number, because the mean of its divisors is an integer number (45837720).

Almost surely, 21023442392 is an apocalyptic number.

1023442392 is a gapful number since it is divisible by the number (12) 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 1023442392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1466807040).

1023442392 is an abundant number, since it is smaller than the sum of its proper divisors (1910171688).

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

1023442392 is a wasteful number, since it uses less digits than its factorization.

1023442392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19792 (or 19788 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 1023442392 is about 31991.2861885858. The cubic root of 1023442392 is about 1007.7538530368.

Adding to 1023442392 its reverse (2932443201), we get a palindrome (3955885593).

The spelling of 1023442392 in words is "one billion, twenty-three million, four hundred forty-two thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 313 626 939 1252 1878 2191 2504 3756 4382 6573 7512 8764 13146 17528 19463 26292 38926 52584 58389 77852 116778 136241 155704 233556 272482 408723 467112 544964 817446 1089928 1634892 3269784 6091919 12183838 18275757 24367676 36551514 42643433 48735352 73103028 85286866 127930299 146206056 170573732 255860598 341147464 511721196 1023442392