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3443661220 = 2255325712641
BaseRepresentation
bin1100110101000010…
…0001100110100100
322212222212010010011
43031100201212210
524023034124340
61325413340004
7151223431426
oct31520414644
98788763104
103443661220
11150794770a
12801337604
1342b5a1c7c
142494d4816
151524ce0ea
hexcd4219a4

3443661220 has 48 divisors (see below), whose sum is σ = 7397390448. Its totient is φ = 1346109440.

The previous prime is 3443661211. The next prime is 3443661229. The reversal of 3443661220 is 221663443.

It is an interprime number because it is at equal distance from previous prime (3443661211) and next prime (3443661229).

It can be written as a sum of positive squares in 8 ways, for example, as 553536 + 3443107684 = 744^2 + 58678^2 .

It is not an unprimeable number, because it can be changed into a prime (3443661229) 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, 266100 + ... + 278740.

It is an arithmetic number, because the mean of its divisors is an integer number (154112301).

Almost surely, 23443661220 is an apocalyptic number.

It is an amenable number.

3443661220 is an abundant number, since it is smaller than the sum of its proper divisors (3953729228).

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

3443661220 is a wasteful number, since it uses less digits than its factorization.

3443661220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12960 (or 12958 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 31.

The square root of 3443661220 is about 58682.7165356206. The cubic root of 3443661220 is about 1510.1038216409.

The spelling of 3443661220 in words is "three billion, four hundred forty-three million, six hundred sixty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 53 106 212 257 265 514 530 1028 1060 1285 2570 5140 12641 13621 25282 27242 50564 54484 63205 68105 126410 136210 252820 272420 669973 1339946 2679892 3248737 3349865 6497474 6699730 12994948 13399460 16243685 32487370 64974740 172183061 344366122 688732244 860915305 1721830610 3443661220