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3066671232 = 27338591033
BaseRepresentation
bin1011011011001001…
…1011000010000000
321220201111001002000
42312302123002000
522240031434412
61224145224000
7135665163312
oct26662330200
97821431060
103066671232
111334068539
12717032000
1339b458b81
142113dd7b2
1512e3634dc
hexb6c9b080

3066671232 has 128 divisors (see below), whose sum is σ = 9070248000. Its totient is φ = 1020045312.

The previous prime is 3066671227. The next prime is 3066671233. The reversal of 3066671232 is 2321766603.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3066671233) 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, 2968188 + ... + 2969220.

Almost surely, 23066671232 is an apocalyptic number.

3066671232 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 3066671232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4535124000).

3066671232 is an abundant number, since it is smaller than the sum of its proper divisors (6003576768).

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

3066671232 is a wasteful number, since it uses less digits than its factorization.

3066671232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1915 (or 1897 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 3066671232 is about 55377.5336395546. The cubic root of 3066671232 is about 1452.8554483744.

The spelling of 3066671232 in words is "three billion, sixty-six million, six hundred seventy-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 859 864 1033 1152 1718 1728 2066 2577 3099 3436 3456 4132 5154 6198 6872 7731 8264 9297 10308 12396 13744 15462 16528 18594 20616 23193 24792 27488 27891 30924 33056 37188 41232 46386 49584 54976 55782 61848 66112 74376 82464 92772 99168 109952 111564 123696 132224 148752 164928 185544 198336 223128 247392 297504 329856 371088 396672 446256 494784 595008 742176 887347 892512 989568 1190016 1484352 1774694 1785024 2662041 2968704 3549388 3570048 5324082 7098776 7986123 10648164 14197552 15972246 21296328 23958369 28395104 31944492 42592656 47916738 56790208 63888984 85185312 95833476 113580416 127777968 170370624 191666952 255555936 340741248 383333904 511111872 766667808 1022223744 1533335616 3066671232