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1882213344 = 2532111734949
BaseRepresentation
bin111000000110000…
…0100101111100000
311212011201100022100
41300030010233200
512323321311334
6510434210400
764433356314
oct16014045740
94764640270
101882213344
11886507820
12446423a00
1323cc46a0b
1413bd97b44
15b0397c99
hex70304be0

1882213344 has 144 divisors (see below), whose sum is σ = 6182794800. Its totient is φ = 536801280.

The previous prime is 1882213343. The next prime is 1882213367. The reversal of 1882213344 is 4433122881.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1882213299 and 1882213308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1882213343) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36382 + ... + 71330.

It is an arithmetic number, because the mean of its divisors is an integer number (42936075).

Almost surely, 21882213344 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 1882213344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3091397400).

1882213344 is an abundant number, since it is smaller than the sum of its proper divisors (4300581456).

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

1882213344 is a wasteful number, since it uses less digits than its factorization.

1882213344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34993 (or 34982 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 1882213344 is about 43384.4827559348. The cubic root of 1882213344 is about 1234.6853146556.

The spelling of 1882213344 in words is "one billion, eight hundred eighty-two million, two hundred thirteen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 17 18 22 24 32 33 34 36 44 48 51 66 68 72 88 96 99 102 132 136 144 153 176 187 198 204 264 272 288 306 352 374 396 408 528 544 561 612 748 792 816 1056 1122 1224 1496 1584 1632 1683 2244 2448 2992 3168 3366 4488 4896 5984 6732 8976 13464 17952 26928 34949 53856 69898 104847 139796 209694 279592 314541 384439 419388 559184 594133 629082 768878 838776 1118368 1153317 1188266 1258164 1537756 1677552 1782399 2306634 2376532 2516328 3075512 3355104 3459951 3564798 4613268 4753064 5032656 5347197 6151024 6535463 6919902 7129596 9226536 9506128 10065312 10694394 12302048 13070926 13839804 14259192 18453072 19012256 19606389 21388788 26141852 27679608 28518384 36906144 39212778 42777576 52283704 55359216 57036768 58819167 78425556 85555152 104567408 110718432 117638334 156851112 171110304 209134816 235276668 313702224 470553336 627404448 941106672 1882213344