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1323571968 = 2833533613
BaseRepresentation
bin100111011100100…
…0001101100000000
310102020112102102000
41032321001230000
510202313300333
6335200424000
744541114255
oct11671015400
93366472360
101323571968
1161a138234
1230b318000
1318129c1a4
14c7ad942c
157b2e9713
hex4ee41b00

1323571968 has 144 divisors (see below), whose sum is σ = 3988988640. Its totient is φ = 432746496.

The previous prime is 1323571943. The next prime is 1323571969. The reversal of 1323571968 is 8691753231.

1323571968 is a `hidden beast` number, since 13 + 2 + 3 + 571 + 9 + 68 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1323571969) 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, 364530 + ... + 368142.

It is an arithmetic number, because the mean of its divisors is an integer number (27701310).

Almost surely, 21323571968 is an apocalyptic number.

1323571968 is a gapful number since it is divisible by the number (18) 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 1323571968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1994494320).

1323571968 is an abundant number, since it is smaller than the sum of its proper divisors (2665416672).

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

1323571968 is an equidigital number, since it uses as much as digits as its factorization.

1323571968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3691 (or 3671 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The square root of 1323571968 is about 36380.9286302590. The cubic root of 1323571968 is about 1097.9498917083.

It can be divided in two parts, 132 and 3571968, that added together give a square (3572100 = 18902).

The spelling of 1323571968 in words is "one billion, three hundred twenty-three million, five hundred seventy-one thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 53 54 64 72 96 106 108 128 144 159 192 212 216 256 288 318 384 424 432 477 576 636 768 848 864 954 1152 1272 1431 1696 1728 1908 2304 2544 2862 3392 3456 3613 3816 5088 5724 6784 6912 7226 7632 10176 10839 11448 13568 14452 15264 20352 21678 22896 28904 30528 32517 40704 43356 45792 57808 61056 65034 86712 91584 97551 115616 122112 130068 173424 183168 191489 195102 231232 260136 346848 366336 382978 390204 462464 520272 574467 693696 765956 780408 924928 1040544 1148934 1387392 1531912 1560816 1723401 2081088 2297868 2774784 3063824 3121632 3446802 4162176 4595736 5170203 6127648 6243264 6893604 8324352 9191472 10340406 12255296 12486528 13787208 18382944 20680812 24510592 24973056 27574416 36765888 41361624 49021184 55148832 73531776 82723248 110297664 147063552 165446496 220595328 330892992 441190656 661785984 1323571968