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2338425720 = 233355340853
BaseRepresentation
bin1000101101100001…
…1000101101111000
320000222011100001000
42023120120231320
514242114110340
61024012325000
7111643201461
oct21330305570
96028140030
102338425720
11a9aa86944
12553173760
132b360a277
141827d1d68
15da461d30
hex8b618b78

2338425720 has 128 divisors (see below), whose sum is σ = 7942017600. Its totient is φ = 611799552.

The previous prime is 2338425707. The next prime is 2338425721. The reversal of 2338425720 is 275248332.

2338425720 is a `hidden beast` number, since 2 + 3 + 3 + 84 + 2 + 572 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2338425721) 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, 36814 + ... + 77666.

Almost surely, 22338425720 is an apocalyptic number.

2338425720 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 2338425720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3971008800).

2338425720 is an abundant number, since it is smaller than the sum of its proper divisors (5603591880).

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

2338425720 is a wasteful number, since it uses less digits than its factorization.

2338425720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40926 (or 40916 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 2338425720 is about 48357.2716351946. The cubic root of 2338425720 is about 1327.3166014316.

The spelling of 2338425720 in words is "two billion, three hundred thirty-eight million, four hundred twenty-five thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 53 54 60 72 90 106 108 120 135 159 180 212 216 265 270 318 360 424 477 530 540 636 795 954 1060 1080 1272 1431 1590 1908 2120 2385 2862 3180 3816 4770 5724 6360 7155 9540 11448 14310 19080 28620 40853 57240 81706 122559 163412 204265 245118 326824 367677 408530 490236 612795 735354 817060 980472 1103031 1225590 1470708 1634120 1838385 2165209 2206062 2451180 2941416 3676770 4330418 4412124 4902360 5515155 6495627 7353540 8660836 8824248 10826045 11030310 12991254 14707080 17321672 19486881 21652090 22060620 25982508 32478135 38973762 43304180 44121240 51965016 58460643 64956270 77947524 86608360 97434405 116921286 129912540 155895048 194868810 233842572 259825080 292303215 389737620 467685144 584606430 779475240 1169212860 2338425720