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2424025344 = 28313972503
BaseRepresentation
bin1001000001111011…
…1011000100000000
320020221020020122110
42100132323010000
514431022302334
61040311135320
7114032606166
oct22036730400
96227206573
102424025344
111034332134
12577974540
132c827b330
1418dd15236
15e2c1eae9
hex907bb100

2424025344 has 144 divisors (see below), whose sum is σ = 7022137472. Its totient is φ = 737869824.

The previous prime is 2424025343. The next prime is 2424025379. The reversal of 2424025344 is 4435204242.

It is not an unprimeable number, because it can be changed into a prime (2424025343) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 967197 + ... + 969699.

Almost surely, 22424025344 is an apocalyptic number.

2424025344 is a gapful number since it is divisible by the number (24) 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 2424025344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3511068736).

2424025344 is an abundant number, since it is smaller than the sum of its proper divisors (4598112128).

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

2424025344 is a wasteful number, since it uses less digits than its factorization.

2424025344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2632 (or 2618 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 30.

The square root of 2424025344 is about 49234.3918820980. The cubic root of 2424025344 is about 1343.3186739420.

Adding to 2424025344 its reverse (4435204242), we get a palindrome (6859229586).

The spelling of 2424025344 in words is "two billion, four hundred twenty-four million, twenty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 97 104 128 156 192 194 208 256 291 312 384 388 416 582 624 768 776 832 1164 1248 1261 1552 1664 2328 2496 2503 2522 3104 3328 3783 4656 4992 5006 5044 6208 7509 7566 9312 9984 10012 10088 12416 15018 15132 18624 20024 20176 24832 30036 30264 32539 37248 40048 40352 60072 60528 65078 74496 80096 80704 97617 120144 121056 130156 160192 161408 195234 240288 242112 242791 260312 320384 322816 390468 480576 484224 485582 520624 640768 728373 780936 961152 968448 971164 1041248 1456746 1561872 1922304 1942328 2082496 2913492 3123744 3156283 3884656 4164992 5826984 6247488 6312566 7769312 8329984 9468849 11653968 12494976 12625132 15538624 18937698 23307936 24989952 25250264 31077248 37875396 46615872 50500528 62154496 75750792 93231744 101001056 151501584 186463488 202002112 303003168 404004224 606006336 808008448 1212012672 2424025344