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244342320 = 24355711783
BaseRepresentation
bin11101001000001…
…01111000110000
3122000202212122120
432210011320300
51000022423240
640125034240
76024606165
oct1644057060
9560685576
10244342320
11115a1a002
12699b5980
133b811471
142464606c
15166b7ad0
hexe905e30

244342320 has 80 divisors (see below), whose sum is σ = 759213312. Its totient is φ = 65007360.

The previous prime is 244342303. The next prime is 244342327. The reversal of 244342320 is 23243442.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (244342327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136149 + ... + 137931.

Almost surely, 2244342320 is an apocalyptic number.

244342320 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 244342320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379606656).

244342320 is an abundant number, since it is smaller than the sum of its proper divisors (514870992).

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

244342320 is a wasteful number, since it uses less digits than its factorization.

244342320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2370 (or 2364 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

The square root of 244342320 is about 15631.4529075195. The cubic root of 244342320 is about 625.1720656918.

Adding to 244342320 its reverse (23243442), we get a palindrome (267585762).

The spelling of 244342320 in words is "two hundred forty-four million, three hundred forty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 571 1142 1713 1783 2284 2855 3426 3566 4568 5349 5710 6852 7132 8565 8915 9136 10698 11420 13704 14264 17130 17830 21396 22840 26745 27408 28528 34260 35660 42792 45680 53490 68520 71320 85584 106980 137040 142640 213960 427920 1018093 2036186 3054279 4072372 5090465 6108558 8144744 10180930 12217116 15271395 16289488 20361860 24434232 30542790 40723720 48868464 61085580 81447440 122171160 244342320