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3340571328 = 26332338297
BaseRepresentation
bin1100011100011101…
…0001001011000000
322121210212121101000
43013013101023000
523320141240303
61311252012000
7145532250003
oct30707211300
98553777330
103340571328
111464735756
12792901000
13413118c33
1423993b53a
15148418da3
hexc71d12c0

3340571328 has 112 divisors (see below), whose sum is σ = 9863998560. Its totient is φ = 1108611072.

The previous prime is 3340571321. The next prime is 3340571341. The reversal of 3340571328 is 8231750433.

It is a super-2 number, since 2×33405713282 = 22318833594911367168, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 3340571292 and 3340571301.

It is not an unprimeable number, because it can be changed into a prime (3340571321) 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, 398476 + ... + 406772.

Almost surely, 23340571328 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 3340571328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4931999280).

3340571328 is an abundant number, since it is smaller than the sum of its proper divisors (6523427232).

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

3340571328 is a wasteful number, since it uses less digits than its factorization.

3340571328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8551 (or 8535 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 3340571328 is about 57797.6758010216. The cubic root of 3340571328 is about 1494.8820133357.

The spelling of 3340571328 in words is "three billion, three hundred forty million, five hundred seventy-one thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 233 288 432 466 576 699 864 932 1398 1728 1864 2097 2796 3728 4194 5592 6291 7456 8297 8388 11184 12582 14912 16594 16776 22368 24891 25164 33188 33552 44736 49782 50328 66376 67104 74673 99564 100656 132752 134208 149346 199128 201312 224019 265504 298692 398256 402624 448038 531008 597384 796512 896076 1194768 1593024 1792152 1933201 2389536 3584304 3866402 4779072 5799603 7168608 7732804 11599206 14337216 15465608 17398809 23198412 30931216 34797618 46396824 52196427 61862432 69595236 92793648 104392854 123724864 139190472 185587296 208785708 278380944 371174592 417571416 556761888 835142832 1113523776 1670285664 3340571328