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1044334401 = 31148896473
BaseRepresentation
bin111110001111110…
…100011101000001
32200210002200110220
4332033310131001
54114322200101
6251343413253
734610460465
oct7617643501
92623080426
101044334401
11496554990
122518b4229
13138490866
149c9ac4a5
1561a3c636
hex3e3f4741

1044334401 has 16 divisors (see below), whose sum is σ = 1519577280. Its totient is φ = 632702720.

The previous prime is 1044334393. The next prime is 1044334433.

1044334401 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 1044334401 - 23 = 1044334393 is a prime.

It is a super-2 number, since 2×10443344012 = 2181268682224057602, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1044334451) 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 15 ways as a sum of consecutive naturals, for example, 158101 + ... + 164573.

It is an arithmetic number, because the mean of its divisors is an integer number (94973580).

Almost surely, 21044334401 is an apocalyptic number.

1044334401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1044334401 is a deficient number, since it is larger than the sum of its proper divisors (475242879).

1044334401 is a wasteful number, since it uses less digits than its factorization.

1044334401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11376.

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 1044334401 is about 32316.1631540627. The cubic root of 1044334401 is about 1014.5649655175.

It can be divided in two parts, 1044334 and 401, that added together give a triangular number (1044735 = T1445).

The spelling of 1044334401 in words is "one billion, forty-four million, three hundred thirty-four thousand, four hundred one".

Divisors: 1 3 11 33 4889 6473 14667 19419 53779 71203 161337 213609 31646497 94939491 348111467 1044334401