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1023563364 = 2231912133701
BaseRepresentation
bin111101000000100…
…101011001100100
32122100000101222020
4331000211121210
54044013011424
6245322303140
734236100515
oct7500453144
92570011866
101023563364
1148585833a
12246957ab0
1313409a4c5
1499d22a0c
155ecd8079
hex3d025664

1023563364 has 48 divisors (see below), whose sum is σ = 2516767680. Its totient is φ = 322876800.

The previous prime is 1023563339. The next prime is 1023563369. The reversal of 1023563364 is 4633653201.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (1023563369) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 274714 + ... + 278414.

It is an arithmetic number, because the mean of its divisors is an integer number (52432660).

Almost surely, 21023563364 is an apocalyptic number.

It is an amenable number.

1023563364 is an abundant number, since it is smaller than the sum of its proper divisors (1493204316).

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

1023563364 is a wasteful number, since it uses less digits than its factorization.

1023563364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4940 (or 4938 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 33.

The square root of 1023563364 is about 31993.1768350691. The cubic root of 1023563364 is about 1007.7935573383.

The spelling of 1023563364 in words is "one billion, twenty-three million, five hundred sixty-three thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 1213 2426 3639 3701 4852 7278 7402 11103 14556 14804 22206 23047 44412 46094 69141 70319 92188 138282 140638 210957 276564 281276 421914 843828 4489313 8978626 13467939 17957252 26935878 53871756 85296947 170593894 255890841 341187788 511781682 1023563364