Search a number
-
+
3265088000 = 2953173001
BaseRepresentation
bin1100001010011101…
…0100101000000000
322102112211122201012
43002213110220000
523141330304000
61255554100052
7143624534666
oct30247245000
98375748635
103265088000
111426069a39
1277157a628
134005aa645
1422d8ccc36
151419a8735
hexc29d4a00

3265088000 has 160 divisors (see below), whose sum is σ = 8623497168. Its totient is φ = 1228800000.

The previous prime is 3265087999. The next prime is 3265088053. The reversal of 3265088000 is 8805623.

It can be written as a sum of positive squares in 8 ways, for example, as 376670464 + 2888417536 = 19408^2 + 53744^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1086500 + ... + 1089500.

Almost surely, 23265088000 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 3265088000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4311748584).

3265088000 is an abundant number, since it is smaller than the sum of its proper divisors (5358409168).

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

3265088000 is an equidigital number, since it uses as much as digits as its factorization.

3265088000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3051 (or 3025 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 3265088000 is about 57140.9485395544. The cubic root of 3265088000 is about 1483.5367084975.

The spelling of 3265088000 in words is "three billion, two hundred sixty-five million, eighty-eight thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 32 34 40 50 64 68 80 85 100 125 128 136 160 170 200 250 256 272 320 340 400 425 500 512 544 640 680 800 850 1000 1088 1280 1360 1600 1700 2000 2125 2176 2560 2720 3001 3200 3400 4000 4250 4352 5440 6002 6400 6800 8000 8500 8704 10880 12004 12800 13600 15005 16000 17000 21760 24008 27200 30010 32000 34000 43520 48016 51017 54400 60020 64000 68000 75025 96032 102034 108800 120040 136000 150050 192064 204068 217600 240080 255085 272000 300100 375125 384128 408136 480160 510170 544000 600200 750250 768256 816272 960320 1020340 1088000 1200400 1275425 1500500 1536512 1632544 1920640 2040680 2400800 2550850 3001000 3265088 3841280 4081360 4801600 5101700 6002000 6377125 6530176 7682560 8162720 9603200 10203400 12004000 12754250 13060352 16325440 19206400 20406800 24008000 25508500 26120704 32650880 38412800 40813600 48016000 51017000 65301760 81627200 96032000 102034000 130603520 163254400 192064000 204068000 326508800 408136000 653017600 816272000 1632544000 3265088000