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903434413 = 7225771741
BaseRepresentation
bin110101110110010…
…101000010101101
32022221222020000211
4311312111002231
53322234400123
6225351422421
731250031400
oct6566250255
92287866024
10903434413
11423a68712
12212684a11
1311522999b
1487db1d37
15544a940d
hex35d950ad

903434413 has 12 divisors (see below), whose sum is σ = 1055037852. Its totient is φ = 771348480.

The previous prime is 903434407. The next prime is 903434431. The reversal of 903434413 is 314434309.

It can be written as a sum of positive squares in 2 ways, for example, as 775789609 + 127644804 = 27853^2 + 11298^2 .

It is not a de Polignac number, because 903434413 - 229 = 366563501 is a prime.

It is a super-3 number, since 3×9034344133 (a number of 28 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (903434443) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23278 + ... + 48463.

It is an arithmetic number, because the mean of its divisors is an integer number (87919821).

Almost surely, 2903434413 is an apocalyptic number.

It is an amenable number.

903434413 is a deficient number, since it is larger than the sum of its proper divisors (151603439).

903434413 is a wasteful number, since it uses less digits than its factorization.

903434413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72012 (or 72005 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 31.

The square root of 903434413 is about 30057.1857132367. The cubic root of 903434413 is about 966.7159328967.

The spelling of 903434413 in words is "nine hundred three million, four hundred thirty-four thousand, four hundred thirteen".

Divisors: 1 7 49 257 1799 12593 71741 502187 3515309 18437437 129062059 903434413