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3229873088 = 261347151547
BaseRepresentation
bin1100000010000011…
…1111001111000000
322100002120112221012
43000200333033000
523103321414323
61252255220052
7143016316421
oct30040771700
98302515835
103229873088
1114081a7502
12761817628
133c61cab10
14228d63648
1513d84e678
hexc083f3c0

3229873088 has 112 divisors (see below), whose sum is σ = 7108813824. Its totient is φ = 1446681600.

The previous prime is 3229873037. The next prime is 3229873091. The reversal of 3229873088 is 8803789223.

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

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, 5904431 + ... + 5904977.

It is an arithmetic number, because the mean of its divisors is an integer number (63471552).

Almost surely, 23229873088 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 3229873088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3554406912).

3229873088 is an abundant number, since it is smaller than the sum of its proper divisors (3878940736).

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

3229873088 is a wasteful number, since it uses less digits than its factorization.

3229873088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 50.

The square root of 3229873088 is about 56831.9724099032. The cubic root of 3229873088 is about 1478.1839619697.

The spelling of 3229873088 in words is "three billion, two hundred twenty-nine million, eight hundred seventy-three thousand, eighty-eight".

Divisors: 1 2 4 8 13 16 26 32 47 52 64 94 104 151 188 208 302 376 416 547 604 611 752 832 1094 1208 1222 1504 1963 2188 2416 2444 3008 3926 4376 4832 4888 7097 7111 7852 8752 9664 9776 14194 14222 15704 17504 19552 25709 28388 28444 31408 35008 39104 51418 56776 56888 62816 82597 92261 102836 113552 113776 125632 165194 184522 205672 227104 227552 330388 334217 369044 411344 454208 455104 660776 668434 738088 822688 1073761 1321552 1336868 1476176 1645376 2147522 2643104 2673736 2952352 3882059 4295044 5286208 5347472 5904704 7764118 8590088 10694944 15528236 17180176 21389888 31056472 34360352 50466767 62112944 68720704 100933534 124225888 201867068 248451776 403734136 807468272 1614936544 3229873088