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244340100 = 223252271489
BaseRepresentation
bin11101001000001…
…01010110000100
3122000202202121100
432210011112010
51000022340400
640125020100
76024566544
oct1644052604
9560682540
10244340100
11115a18374
12699b4630
133b810454
1424645324
15166b7100
hexe905584

244340100 has 54 divisors (see below), whose sum is σ = 765873290. Its totient is φ = 65157120.

The previous prime is 244340087. The next prime is 244340101. The reversal of 244340100 is 1043442.

It can be written as a sum of positive squares in 3 ways, for example, as 73410624 + 170929476 = 8568^2 + 13074^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (244340101) 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 17 ways as a sum of consecutive naturals, for example, 134845 + ... + 136644.

Almost surely, 2244340100 is an apocalyptic number.

244340100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

244340100 is an abundant number, since it is smaller than the sum of its proper divisors (521533190).

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

244340100 is a wasteful number, since it uses less digits than its factorization.

244340100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271509 (or 271499 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 244340100 is about 15631.3818966846. The cubic root of 244340100 is about 625.1701723287.

Adding to 244340100 its reverse (1043442), we get a palindrome (245383542).

The spelling of 244340100 in words is "two hundred forty-four million, three hundred forty thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 271489 542978 814467 1085956 1357445 1628934 2443401 2714890 3257868 4072335 4886802 5429780 6787225 8144670 9773604 12217005 13574450 16289340 20361675 24434010 27148900 40723350 48868020 61085025 81446700 122170050 244340100