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244341000 = 233253171597
BaseRepresentation
bin11101001000001…
…01100100001000
3122000202210211200
432210011210020
51000022403000
640125024200
76024602301
oct1644054410
9560683750
10244341000
11115a19012
12699b5060
133b810997
14246457a8
15166b7500
hexe905908

244341000 has 192 divisors, whose sum is σ = 875000880. Its totient is φ = 61286400.

The previous prime is 244340989. The next prime is 244341043. The reversal of 244341000 is 143442.

It can be written as a sum of positive squares in 8 ways, for example, as 6749604 + 237591396 = 2598^2 + 15414^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 152202 + ... + 153798.

Almost surely, 2244341000 is an apocalyptic number.

244341000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 244341000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437500440).

244341000 is an abundant number, since it is smaller than the sum of its proper divisors (630659880).

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

244341000 is a wasteful number, since it uses less digits than its factorization.

244341000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1641 (or 1624 counting only the distinct ones).

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

The square root of 244341000 is about 15631.4106848998. The cubic root of 244341000 is about 625.1709399097.

Adding to 244341000 its reverse (143442), we get a palindrome (244484442).

The spelling of 244341000 in words is "two hundred forty-four million, three hundred forty-one thousand".