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3334947001 = 172432792
BaseRepresentation
bin1100011011000111…
…0100000010111001
322121102021212020121
43012301310002321
523312221301001
61310531253241
7145433403361
oct30661640271
98542255217
103334947001
111461544051
12790a4a221
13411bc9c29
14238cb59a1
15147ba76a1
hexc6c740b9

3334947001 has 27 divisors (see below), whose sum is σ = 3673455471. Its totient is φ = 3026971584.

The previous prime is 3334946999. The next prime is 3334947029. The reversal of 3334947001 is 1007494333.

It is a happy number.

The square root of 3334947001 is 57749.

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

It can be written as a sum of positive squares in only one way, i.e., 2596412025 + 738534976 = 50955^2 + 27176^2 .

It is not a de Polignac number, because 3334947001 - 21 = 3334946999 is a prime.

It is a super-2 number, since 2×33349470012 = 22243742998957788002, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3334947701) 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, 42214480 + ... + 42214558.

Almost surely, 23334947001 is an apocalyptic number.

3334947001 is the 57749-th square number.

3334947001 is the 28875-th centered octagonal number.

It is an amenable number.

3334947001 is a deficient number, since it is larger than the sum of its proper divisors (338508470).

3334947001 is an frugal number, since it uses more digits than its factorization.

3334947001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 34.

The cubic root of 3334947001 is about 1494.0425932301.

The spelling of 3334947001 in words is "three billion, three hundred thirty-four million, nine hundred forty-seven thousand, one".

Divisors: 1 17 43 79 289 731 1343 1849 3397 6241 12427 22831 31433 57749 106097 146071 268363 534361 981733 1803649 2483207 4562171 11539609 42214519 77556907 196173353 3334947001