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1020444318 = 23449112829
BaseRepresentation
bin111100110100101…
…011111010011110
32122010010221110000
4330310223322132
54042213204233
6245131355130
734200430215
oct7464537236
92563127400
101020444318
11484017a13
122458b2aa6
1313354790a
149975007c
155e8bdd13
hex3cd2be9e

1020444318 has 40 divisors (see below), whose sum is σ = 2291386680. Its totient is φ = 339428880.

The previous prime is 1020444311. The next prime is 1020444331. The reversal of 1020444318 is 8134440201.

1020444318 is a `hidden beast` number, since 1 + 0 + 204 + 443 + 18 = 666.

It is a super-2 number, since 2×10204443182 = 2082613212276970248, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1020444291 and 1020444300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020444311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 73128 + ... + 85956.

It is an arithmetic number, because the mean of its divisors is an integer number (57284667).

Almost surely, 21020444318 is an apocalyptic number.

1020444318 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

1020444318 is an abundant number, since it is smaller than the sum of its proper divisors (1270942362).

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

1020444318 is a wasteful number, since it uses less digits than its factorization.

1020444318 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13334 (or 13325 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 1020444318 is about 31944.3941560957. The cubic root of 1020444318 is about 1006.7688519332.

Adding to 1020444318 its reverse (8134440201), we get a palindrome (9154884519).

The spelling of 1020444318 in words is "one billion, twenty million, four hundred forty-four thousand, three hundred eighteen".

Divisors: 1 2 3 6 9 18 27 54 81 162 491 982 1473 2946 4419 8838 12829 13257 25658 26514 38487 39771 76974 79542 115461 230922 346383 692766 1039149 2078298 6299039 12598078 18897117 37794234 56691351 113382702 170074053 340148106 510222159 1020444318