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1023381568 = 26115412687
BaseRepresentation
bin111100111111111…
…001000001000000
32122022200011121001
4330333321001000
54043441202233
6245314341344
734234412506
oct7477710100
92568604531
101023381568
114857437a0
1224688a854
13134035831
1499cb6676
155ec9e27d
hex3cff9040

1023381568 has 56 divisors (see below), whose sum is σ = 2220309504. Its totient is φ = 464140800.

The previous prime is 1023381559. The next prime is 1023381577. The reversal of 1023381568 is 8651833201.

1023381568 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1023381559) and next prime (1023381577).

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

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, 379521 + ... + 382207.

It is an arithmetic number, because the mean of its divisors is an integer number (39648384).

Almost surely, 21023381568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1023381568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1110154752).

1023381568 is an abundant number, since it is smaller than the sum of its proper divisors (1196927936).

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

1023381568 is a wasteful number, since it uses less digits than its factorization.

1023381568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3251 (or 3241 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The square root of 1023381568 is about 31990.3355405973. The cubic root of 1023381568 is about 1007.7338887687.

The spelling of 1023381568 in words is "one billion, twenty-three million, three hundred eighty-one thousand, five hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 352 541 704 1082 2164 2687 4328 5374 5951 8656 10748 11902 17312 21496 23804 29557 34624 42992 47608 59114 85984 95216 118228 171968 190432 236456 380864 472912 945824 1453667 1891648 2907334 5814668 11629336 15990337 23258672 31980674 46517344 63961348 93034688 127922696 255845392 511690784 1023381568