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243415144 = 2372620957
BaseRepresentation
bin11101000001000…
…11100001101000
3121222000202210201
432200203201220
5444303241034
640053121544
76013665100
oct1640434150
9558022721
10243415144
11115446445
12696292b4
133b57843b
1424484200
1516583014
hexe823868

243415144 has 24 divisors (see below), whose sum is σ = 530919090. Its totient is φ = 104320608.

The previous prime is 243415121. The next prime is 243415147. The reversal of 243415144 is 441514342.

It can be written as a sum of positive squares in only one way, i.e., 189392644 + 54022500 = 13762^2 + 7350^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (243415147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 310087 + ... + 310870.

Almost surely, 2243415144 is an apocalyptic number.

It is an amenable number.

243415144 is an abundant number, since it is smaller than the sum of its proper divisors (287503946).

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

243415144 is a wasteful number, since it uses less digits than its factorization.

243415144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620977 (or 620966 counting only the distinct ones).

The product of its digits is 7680, while the sum is 28.

The square root of 243415144 is about 15601.7673357860. The cubic root of 243415144 is about 624.3803086553.

Adding to 243415144 its reverse (441514342), we get a palindrome (684929486).

It can be divided in two parts, 2434 and 15144, that added together give a triangular number (17578 = T187).

The spelling of 243415144 in words is "two hundred forty-three million, four hundred fifteen thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 392 620957 1241914 2483828 4346699 4967656 8693398 17386796 30426893 34773592 60853786 121707572 243415144