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24034204240 = 2451723417549
BaseRepresentation
bin10110011000100011…
…001101101001010000
32022000222121002002121
4112120203031221100
5343210224013430
615012520224024
71510406236204
oct263043155120
968028532077
1024034204240
11a213755412
1247a900b014
132360413b37
14123ddc0b04
15959eeaa7a
hex5988cda50

24034204240 has 80 divisors (see below), whose sum is σ = 59199670800. Its totient is φ = 9043107840.

The previous prime is 24034204237. The next prime is 24034204277. The reversal of 24034204240 is 4240243042.

It can be written as a sum of positive squares in 8 ways, for example, as 2646896704 + 21387307536 = 51448^2 + 146244^2 .

It is a tau number, because it is divible by the number of its divisors (80).

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, 3179986 + ... + 3187534.

It is an arithmetic number, because the mean of its divisors is an integer number (739995885).

Almost surely, 224034204240 is an apocalyptic number.

24034204240 is a gapful number since it is divisible by the number (20) 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 24034204240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29599835400).

24034204240 is an abundant number, since it is smaller than the sum of its proper divisors (35165466560).

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

24034204240 is a wasteful number, since it uses less digits than its factorization.

24034204240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9920 (or 9914 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 25.

Adding to 24034204240 its reverse (4240243042), we get a palindrome (28274447282).

The spelling of 24034204240 in words is "twenty-four billion, thirty-four million, two hundred four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 2341 4682 7549 9364 11705 15098 18728 23410 30196 37456 37745 39797 46820 60392 75490 79594 93640 120784 128333 150980 159188 187280 198985 256666 301960 318376 397970 513332 603920 636752 641665 795940 1026664 1283330 1591880 2053328 2566660 3183760 5133320 10266640 17672209 35344418 70688836 88361045 141377672 176722090 282755344 300427553 353444180 600855106 706888360 1201710212 1413776720 1502137765 2403420424 3004275530 4806840848 6008551060 12017102120 24034204240