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1054243344 = 2437111511889
BaseRepresentation
bin111110110101100…
…111101000010000
32201110202002222210
4332311213220100
54124341241334
6252340032120
735060630520
oct7665475020
92643662883
101054243344
114a11026a0
12255092640
1313a54cb3b
14a002b680
15628485e9
hex3ed67a10

1054243344 has 160 divisors (see below), whose sum is σ = 3419781120. Its totient is φ = 271872000.

The previous prime is 1054243343. The next prime is 1054243357. The reversal of 1054243344 is 4433424501.

It is a super-2 number, since 2×10542433442 = 2222858056736604672, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1054243343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 557152 + ... + 559040.

It is an arithmetic number, because the mean of its divisors is an integer number (21373632).

Almost surely, 21054243344 is an apocalyptic number.

1054243344 is a gapful number since it is divisible by the number (14) 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 1054243344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1709890560).

1054243344 is an abundant number, since it is smaller than the sum of its proper divisors (2365537776).

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

1054243344 is a wasteful number, since it uses less digits than its factorization.

1054243344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2069 (or 2063 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

The square root of 1054243344 is about 32469.1136928620. The cubic root of 1054243344 is about 1017.7636972867.

Adding to 1054243344 its reverse (4433424501), we get a palindrome (5487667845).

The spelling of 1054243344 in words is "one billion, fifty-four million, two hundred forty-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 132 151 154 168 176 231 264 302 308 336 453 462 528 604 616 906 924 1057 1208 1232 1661 1812 1848 1889 2114 2416 3171 3322 3624 3696 3778 4228 4983 5667 6342 6644 7248 7556 8456 9966 11334 11627 12684 13223 13288 15112 16912 19932 20779 22668 23254 25368 26446 26576 30224 34881 39669 39864 41558 45336 46508 50736 52892 62337 69762 79338 79728 83116 90672 93016 105784 124674 139524 145453 158676 166232 186032 211568 249348 279048 285239 290906 317352 332464 436359 498696 558096 570478 581812 634704 855717 872718 997392 1140956 1163624 1711434 1745436 1996673 2281912 2327248 3137629 3422868 3490872 3993346 4563824 5990019 6275258 6845736 6981744 7986692 9412887 11980038 12550516 13691472 15973384 18825774 21963403 23960076 25101032 31946768 37651548 43926806 47920152 50202064 65890209 75303096 87853612 95840304 131780418 150606192 175707224 263560836 351414448 527121672 1054243344