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441343144 = 23112455933
BaseRepresentation
bin11010010011100…
…101110010101000
31010202110112222101
4122103211302220
51400440440034
6111443303144
713636232464
oct3223456250
91122415871
10441343144
11207143700
1210397aab4
13705885b8
14428874a4
1528b2d514
hex1a4e5ca8

441343144 has 24 divisors (see below), whose sum is σ = 909588330. Its totient is φ = 200610080.

The previous prime is 441343139. The next prime is 441343151.

It is a happy number.

441343144 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 305900100 + 135443044 = 17490^2 + 11638^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 226999 + ... + 228934.

Almost surely, 2441343144 is an apocalyptic number.

441343144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

441343144 is an abundant number, since it is smaller than the sum of its proper divisors (468245186).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

441343144 is a wasteful number, since it uses less digits than its factorization.

441343144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455961 (or 455946 counting only the distinct ones).

The product of its digits is 9216, while the sum is 28.

The square root of 441343144 is about 21008.1685065595. The cubic root of 441343144 is about 761.3636321682.

It can be divided in two parts, 44134 and 3144, that added together give a triangular number (47278 = T307).

The spelling of 441343144 in words is "four hundred forty-one million, three hundred forty-three thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 22 44 88 121 242 484 968 455933 911866 1823732 3647464 5015263 10030526 20061052 40122104 55167893 110335786 220671572 441343144