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3007826341 = 13217797789
BaseRepresentation
bin1011001101000111…
…1100100110100101
321202121202102001121
42303101330212211
522130000420331
61214244053541
7134352050002
oct26321744645
97677672047
103007826341
1113039264a3
126bb3942b1
1338c1c4900
142076828a9
151290dcc11
hexb347c9a5

3007826341 has 6 divisors (see below), whose sum is σ = 3256995570. Its totient is φ = 2776454928.

The previous prime is 3007826317. The next prime is 3007826347. The reversal of 3007826341 is 1436287003.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 3690241 + 3004136100 = 1921^2 + 54810^2 .

It is not a de Polignac number, because 3007826341 - 211 = 3007824293 is a prime.

It is a super-2 number, since 2×30078263412 = 18094038595226896562, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3007826297 and 3007826306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3007826347) 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 5 ways as a sum of consecutive naturals, for example, 8898726 + ... + 8899063.

It is an arithmetic number, because the mean of its divisors is an integer number (542832595).

Almost surely, 23007826341 is an apocalyptic number.

It is an amenable number.

3007826341 is a deficient number, since it is larger than the sum of its proper divisors (249169229).

3007826341 is a wasteful number, since it uses less digits than its factorization.

3007826341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17797815 (or 17797802 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The square root of 3007826341 is about 54843.6536073227. The cubic root of 3007826341 is about 1443.5026520382.

The spelling of 3007826341 in words is "three billion, seven million, eight hundred twenty-six thousand, three hundred forty-one".

Divisors: 1 13 169 17797789 231371257 3007826341