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3966354441 = 327229992
BaseRepresentation
bin1110110001101001…
…1100010000001001
3101020102101200102100
43230122130100021
531110341320231
61453324424013
7200201312400
oct35432342011
911212350370
103966354441
1117559a3885
129283a8009
134b29712ba
14298ab6637
1518332b1e6
hexec69c409

3966354441 has 27 divisors (see below), whose sum is σ = 6666777741. Its totient is φ = 2265732504.

The previous prime is 3966354421. The next prime is 3966354451. The reversal of 3966354441 is 1444536693.

The square root of 3966354441 is 62979.

It is a perfect power (a square), and thus also a powerful number.

3966354441 is a `hidden beast` number, since 3 + 9 + 6 + 63 + 544 + 41 = 666.

It is not a de Polignac number, because 3966354441 - 211 = 3966352393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3966354401) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1321060 + ... + 1324058.

Almost surely, 23966354441 is an apocalyptic number.

3966354441 is the 62979-th square number.

3966354441 is the 31490-th centered octagonal number.

It is an amenable number.

3966354441 is a deficient number, since it is larger than the sum of its proper divisors (2700423300).

3966354441 is an frugal number, since it uses more digits than its factorization.

3966354441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6018 (or 3009 counting only the distinct ones).

The product of its digits is 933120, while the sum is 45.

The cubic root of 3966354441 is about 1582.9377646823.

The spelling of 3966354441 in words is "three billion, nine hundred sixty-six million, three hundred fifty-four thousand, four hundred forty-one".

Divisors: 1 3 7 9 21 49 63 147 441 2999 8997 20993 26991 62979 146951 188937 440853 1322559 8994001 26982003 62958007 80946009 188874021 440706049 566622063 1322118147 3966354441