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3441001431 = 372170913697
BaseRepresentation
bin1100110100011001…
…1000001111010111
322212210211222120110
43031012120033113
524021344021211
61325240334103
7151162013100
oct31506301727
98783758513
103441001431
1115063a033a
12800474333
1342ab8042a
142490013a7
15152155ea6
hexcd1983d7

3441001431 has 24 divisors (see below), whose sum is σ = 5340576240. Its totient is φ = 1964992512.

The previous prime is 3441001429. The next prime is 3441001453. The reversal of 3441001431 is 1341001443.

It is not a de Polignac number, because 3441001431 - 21 = 3441001429 is a prime.

It is a super-2 number, since 2×34410014312 = 23680981696288095522, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 3441001398 and 3441001407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3441001471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 244375 + ... + 258071.

It is an arithmetic number, because the mean of its divisors is an integer number (222524010).

Almost surely, 23441001431 is an apocalyptic number.

3441001431 is a deficient number, since it is larger than the sum of its proper divisors (1899574809).

3441001431 is a wasteful number, since it uses less digits than its factorization.

3441001431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15423 (or 15416 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 3441001431 is about 58660.0497016496. The cubic root of 3441001431 is about 1509.7149339800.

Adding to 3441001431 its reverse (1341001443), we get a palindrome (4782002874).

The spelling of 3441001431 in words is "three billion, four hundred forty-one million, one thousand, four hundred thirty-one".

Divisors: 1 3 7 21 49 147 1709 5127 11963 13697 35889 41091 83741 95879 251223 287637 671153 2013459 23408173 70224519 163857211 491571633 1147000477 3441001431