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244340064 = 2534107881
BaseRepresentation
bin11101001000001…
…01010101100000
3122000202202120000
432210011111200
51000022340224
640125020000
76024566463
oct1644052540
9560682500
10244340064
11115a18341
12699b4600
133b810427
14246452da
15166b70c9
hexe905560

244340064 has 120 divisors (see below), whose sum is σ = 726136488. Its totient is φ = 80593920.

The previous prime is 244340059. The next prime is 244340069. The reversal of 244340064 is 460043442.

It is an interprime number because it is at equal distance from previous prime (244340059) and next prime (244340069).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (244340069) 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 19 ways as a sum of consecutive naturals, for example, 276904 + ... + 277784.

Almost surely, 2244340064 is an apocalyptic number.

244340064 is a gapful number since it is divisible by the number (24) 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 244340064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363068244).

244340064 is an abundant number, since it is smaller than the sum of its proper divisors (481796424).

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

244340064 is a wasteful number, since it uses less digits than its factorization.

244340064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1010 (or 993 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 244340064 is about 15631.3807451549. The cubic root of 244340064 is about 625.1701416254.

The spelling of 244340064 in words is "two hundred forty-four million, three hundred forty thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 107 108 144 162 214 216 288 321 324 428 432 642 648 856 864 881 963 1284 1296 1712 1762 1926 2568 2592 2643 2889 3424 3524 3852 5136 5286 5778 7048 7704 7929 8667 10272 10572 11556 14096 15408 15858 17334 21144 23112 23787 28192 30816 31716 34668 42288 46224 47574 63432 69336 71361 84576 92448 94267 95148 126864 138672 142722 188534 190296 253728 277344 282801 285444 377068 380592 565602 570888 754136 761184 848403 1131204 1141776 1508272 1696806 2262408 2283552 2545209 3016544 3393612 4524816 5090418 6787224 7635627 9049632 10180836 13574448 15271254 20361672 27148896 30542508 40723344 61085016 81446688 122170032 244340064