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3205133312 = 2104383877
BaseRepresentation
bin1011111100001010…
…0111010000000000
322021101000122100012
42333002213100000
523031003231222
61250013044052
7142266116663
oct27702472000
98241018305
103205133312
1113a523a107
12755486628
133c10481b4
142259636da
1513b5b41e2
hexbf0a7400

3205133312 has 88 divisors (see below), whose sum is σ = 6642695136. Its totient is φ = 1544675328.

The previous prime is 3205133299. The next prime is 3205133317. The reversal of 3205133312 is 2133315023.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3205133317) 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 7 ways as a sum of consecutive naturals, for example, 3654218 + ... + 3655094.

It is an arithmetic number, because the mean of its divisors is an integer number (75485172).

Almost surely, 23205133312 is an apocalyptic number.

3205133312 is a gapful number since it is divisible by the number (32) 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 3205133312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3321347568).

3205133312 is an abundant number, since it is smaller than the sum of its proper divisors (3437561824).

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

3205133312 is an equidigital number, since it uses as much as digits as its factorization.

3205133312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1023 (or 1005 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 23.

The square root of 3205133312 is about 56613.8968098823. The cubic root of 3205133312 is about 1474.4001486170.

Adding to 3205133312 its reverse (2133315023), we get a palindrome (5338448335).

The spelling of 3205133312 in words is "three billion, two hundred five million, one hundred thirty-three thousand, three hundred twelve".

Divisors: 1 2 4 8 16 32 43 64 83 86 128 166 172 256 332 344 512 664 688 877 1024 1328 1376 1754 2656 2752 3508 3569 5312 5504 7016 7138 10624 11008 14032 14276 21248 22016 28064 28552 37711 42496 44032 56128 57104 72791 75422 84992 112256 114208 145582 150844 224512 228416 291164 301688 449024 456832 582328 603376 898048 913664 1164656 1206752 1827328 2329312 2413504 3130013 3654656 4658624 4827008 6260026 9317248 9654016 12520052 18634496 19308032 25040104 37268992 38616064 50080208 74537984 100160416 200320832 400641664 801283328 1602566656 3205133312