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1020241344 = 26329971889
BaseRepresentation
bin111100110011111…
…010010111000000
32122002202122000110
4330303322113000
54042140210334
6245123151320
734165623363
oct7463722700
92562678013
101020241344
11483999471
12245815540
131334a6405
14996da0da
155e87dae9
hex3ccfa5c0

1020241344 has 112 divisors (see below), whose sum is σ = 2822752800. Its totient is φ = 324796416.

The previous prime is 1020241331. The next prime is 1020241381. The reversal of 1020241344 is 4431420201.

It is a self number, because there is not a number n which added to its sum of digits gives 1020241344.

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, 539152 + ... + 541040.

It is an arithmetic number, because the mean of its divisors is an integer number (25203150).

Almost surely, 21020241344 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 1020241344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1411376400).

1020241344 is an abundant number, since it is smaller than the sum of its proper divisors (1802511456).

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

1020241344 is a wasteful number, since it uses less digits than its factorization.

1020241344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2030 (or 2020 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 1020241344 is about 31941.2170087491. The cubic root of 1020241344 is about 1006.7020962244.

Adding to 1020241344 its reverse (4431420201), we get a palindrome (5451661545).

The spelling of 1020241344 in words is "one billion, twenty million, two hundred forty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 97 116 174 192 194 232 291 348 388 464 582 696 776 928 1164 1392 1552 1856 1889 2328 2784 2813 3104 3778 4656 5568 5626 5667 6208 7556 8439 9312 11252 11334 15112 16878 18624 22504 22668 30224 33756 45008 45336 54781 60448 67512 90016 90672 109562 120896 135024 164343 180032 181344 183233 219124 270048 328686 362688 366466 438248 540096 549699 657372 732932 876496 1099398 1314744 1465864 1752992 2198796 2629488 2931728 3505984 4397592 5258976 5313757 5863456 8795184 10517952 10627514 11726912 15941271 17590368 21255028 31882542 35180736 42510056 63765084 85020112 127530168 170040224 255060336 340080448 510120672 1020241344