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3289443808 = 25723761839
BaseRepresentation
bin1100010000010000…
…1110110111100000
322111020200001121011
43010010032313200
523214044200213
61302224110304
7144341545120
oct30404166740
98436601534
103289443808
111438894902
12779765394
13405657571
14232c2cc80
15143bba03d
hexc410ede0

3289443808 has 96 divisors (see below), whose sum is σ = 7742407680. Its totient is φ = 1345090560.

The previous prime is 3289443803. The next prime is 3289443811. The reversal of 3289443808 is 8083449823.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3289443803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3920253 + ... + 3921091.

It is an arithmetic number, because the mean of its divisors is an integer number (80650080).

Almost surely, 23289443808 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 3289443808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3871203840).

3289443808 is an abundant number, since it is smaller than the sum of its proper divisors (4452963872).

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

3289443808 is a wasteful number, since it uses less digits than its factorization.

3289443808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1640 (or 1632 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 49.

The square root of 3289443808 is about 57353.6730122841. The cubic root of 3289443808 is about 1487.2163706381.

The spelling of 3289443808 in words is "three billion, two hundred eighty-nine million, four hundred forty-three thousand, eight hundred eight".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 92 112 161 184 224 322 368 644 736 761 839 1288 1522 1678 2576 3044 3356 5152 5327 5873 6088 6712 10654 11746 12176 13424 17503 19297 21308 23492 24352 26848 35006 38594 42616 46984 70012 77188 85232 93968 122521 135079 140024 154376 170464 187936 245042 270158 280048 308752 490084 540316 560096 617504 638479 980168 1080632 1276958 1960336 2161264 2553916 3920672 4322528 4469353 5107832 8938706 10215664 14685017 17877412 20431328 29370034 35754824 58740068 71509648 102795119 117480136 143019296 205590238 234960272 411180476 469920544 822360952 1644721904 3289443808