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3441816889 = 72174292
BaseRepresentation
bin1100110100100101…
…1111010100111001
322212212101102011121
43031021133110321
524022101120024
61325310025241
7151201650400
oct31511372471
98785342147
103441816889
1115068a7a75
128007a8221
1342b0a7654
14249174637
151522678e4
hexcd25f539

3441816889 has 45 divisors (see below), whose sum is σ = 4405724427. Its totient is φ = 2680847232.

The previous prime is 3441816871. The next prime is 3441816901. The reversal of 3441816889 is 9886181443.

The square root of 3441816889 is 58667.

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

It can be written as a sum of positive squares in 7 ways, for example, as 98664489 + 3343152400 = 9933^2 + 57820^2 .

It is not a de Polignac number, because 3441816889 - 25 = 3441816857 is a prime.

It is a super-2 number, since 2×34418168892 = 23692206994811276642, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3441816089) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 118683327 + ... + 118683355.

Almost surely, 23441816889 is an apocalyptic number.

3441816889 is the 58667-th square number.

3441816889 is the 29334-th centered octagonal number.

It is an amenable number.

3441816889 is a deficient number, since it is larger than the sum of its proper divisors (963907538).

3441816889 is an frugal number, since it uses more digits than its factorization.

3441816889 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 53 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 52.

The cubic root of 3441816889 is about 1509.8341833621.

The spelling of 3441816889 in words is "three billion, four hundred forty-one million, eight hundred sixteen thousand, eight hundred eighty-nine".

Divisors: 1 7 17 29 49 119 203 289 493 833 841 1421 2023 3451 4913 5887 8381 14161 14297 24157 34391 41209 58667 83521 100079 142477 240737 243049 410669 584647 700553 997339 1701343 2422109 4092529 4131833 6981373 11909401 16954763 28922831 70241161 118683341 202459817 491688127 3441816889