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1024344144 = 2436531657
BaseRepresentation
bin111101000011100…
…100000001010000
32122101111002000000
4331003210001100
54044213003034
6245351130000
734245532035
oct7503440120
92571432000
101024344144
11486240a0a
12247073900
131342b19c5
149a08738c
155edde599
hex3d0e4050

1024344144 has 140 divisors (see below), whose sum is σ = 3033612756. Its totient is φ = 334803456.

The previous prime is 1024344137. The next prime is 1024344187. The reversal of 1024344144 is 4414434201.

1024344144 is a `hidden beast` number, since 1 + 0 + 243 + 4 + 414 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 534164544 + 490179600 = 23112^2 + 22140^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 617364 + ... + 619020.

Almost surely, 21024344144 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 1024344144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1516806378).

1024344144 is an abundant number, since it is smaller than the sum of its proper divisors (2009268612).

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

1024344144 is an equidigital number, since it uses as much as digits as its factorization.

1024344144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1736 (or 1715 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 1024344144 is about 32005.3767982819. The cubic root of 1024344144 is about 1008.0497424432.

Adding to 1024344144 its reverse (4414434201), we get a palindrome (5438778345).

The spelling of 1024344144 in words is "one billion, twenty-four million, three hundred forty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 53 54 72 81 106 108 144 159 162 212 216 243 318 324 424 432 477 486 636 648 729 848 954 972 1272 1296 1431 1458 1657 1908 1944 2544 2862 2916 3314 3816 3888 4293 4971 5724 5832 6628 7632 8586 9942 11448 11664 12879 13256 14913 17172 19884 22896 25758 26512 29826 34344 38637 39768 44739 51516 59652 68688 77274 79536 87821 89478 103032 119304 134217 154548 175642 178956 206064 238608 263463 268434 309096 351284 357912 402651 526926 536868 618192 702568 715824 790389 805302 1053852 1073736 1207953 1405136 1580778 1610604 2107704 2147472 2371167 2415906 3161556 3221208 4215408 4742334 4831812 6323112 6442416 7113501 9484668 9663624 12646224 14227002 18969336 19327248 21340503 28454004 37938672 42681006 56908008 64021509 85362012 113816016 128043018 170724024 256086036 341448048 512172072 1024344144