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4317241344 = 21331313513
BaseRepresentation
bin1000000010101001…
…11110000000000000
3102010212122120202120
410001110332000000
532320203210334
61552221244240
7211661642313
oct40124760000
912125576676
104317241344
111915a74359
12a05a03680
1353a5780a0
142cd53497a
151a403c949
hex10153e000

4317241344 has 112 divisors (see below), whose sum is σ = 12398392272. Its totient is φ = 1328283648.

The previous prime is 4317241333. The next prime is 4317241349. The reversal of 4317241344 is 4431427134.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4317241349) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 312732 + ... + 326244.

It is an arithmetic number, because the mean of its divisors is an integer number (110699931).

Almost surely, 24317241344 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 4317241344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6199196136).

4317241344 is an abundant number, since it is smaller than the sum of its proper divisors (8081150928).

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

4317241344 is a wasteful number, since it uses less digits than its factorization.

4317241344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13555 (or 13531 counting only the distinct ones).

The product of its digits is 32256, while the sum is 33.

The square root of 4317241344 is about 65705.7177420656. The cubic root of 4317241344 is about 1628.3038227842.

Adding to 4317241344 its reverse (4431427134), we get a palindrome (8748668478).

The spelling of 4317241344 in words is "four billion, three hundred seventeen million, two hundred forty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 512 624 768 832 1024 1248 1536 1664 2048 2496 3072 3328 4096 4992 6144 6656 8192 9984 12288 13312 13513 19968 24576 26624 27026 39936 40539 53248 54052 79872 81078 106496 108104 159744 162156 175669 216208 319488 324312 351338 432416 527007 648624 702676 864832 1054014 1297248 1405352 1729664 2108028 2594496 2810704 3459328 4216056 5188992 5621408 6918656 8432112 10377984 11242816 13837312 16864224 20755968 22485632 27674624 33728448 41511936 44971264 55349248 67456896 83023872 89942528 110698496 134913792 166047744 179885056 269827584 332095488 359770112 539655168 719540224 1079310336 1439080448 2158620672 4317241344