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244313940 = 2235131033041
BaseRepresentation
bin11101000111111…
…10111101010100
3122000201102201110
432203332331110
51000021021230
640124255020
76024430353
oct1643767524
9560642643
10244313940
111159aa752
12699a1470
133b801580
142463999a
15166ae4b0
hexe8fef54

244313940 has 96 divisors (see below), whose sum is σ = 744097536. Its totient is φ = 59535360.

The previous prime is 244313891. The next prime is 244313947. The reversal of 244313940 is 49313442.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 244313898 and 244313907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (244313947) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78820 + ... + 81860.

It is an arithmetic number, because the mean of its divisors is an integer number (7751016).

Almost surely, 2244313940 is an apocalyptic number.

244313940 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 244313940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372048768).

244313940 is an abundant number, since it is smaller than the sum of its proper divisors (499783596).

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

244313940 is a wasteful number, since it uses less digits than its factorization.

244313940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3169 (or 3167 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 244313940 is about 15630.5450960611. The cubic root of 244313940 is about 625.1478604836.

The spelling of 244313940 in words is "two hundred forty-four million, three hundred thirteen thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 103 130 156 195 206 260 309 390 412 515 618 780 1030 1236 1339 1545 2060 2678 3041 3090 4017 5356 6082 6180 6695 8034 9123 12164 13390 15205 16068 18246 20085 26780 30410 36492 39533 40170 45615 60820 79066 80340 91230 118599 158132 182460 197665 237198 313223 395330 474396 592995 626446 790660 939669 1185990 1252892 1566115 1879338 2371980 3132230 3758676 4071899 4698345 6264460 8143798 9396690 12215697 16287596 18793380 20359495 24431394 40718990 48862788 61078485 81437980 122156970 244313940