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244314240 = 2735127247
BaseRepresentation
bin11101000111111…
…11000010000000
3122000201110010120
432203333002000
51000021023430
640124300240
76024431262
oct1643770200
9560643116
10244314240
111159aa9a5
12699a1680
133b801751
1424639b32
15166ae610
hexe8ff080

244314240 has 64 divisors (see below), whose sum is σ = 778757760. Its totient is φ = 65149952.

The previous prime is 244314229. The next prime is 244314251. The reversal of 244314240 is 42413442.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (244314229) and next prime (244314251).

It is a tau number, because it is divible by the number of its divisors (64).

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

It is a self number, because there is not a number n which added to its sum of digits gives 244314240.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61704 + ... + 65543.

It is an arithmetic number, because the mean of its divisors is an integer number (12168090).

Almost surely, 2244314240 is an apocalyptic number.

244314240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

244314240 is an abundant number, since it is smaller than the sum of its proper divisors (534443520).

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

244314240 is a wasteful number, since it uses less digits than its factorization.

244314240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127269 (or 127257 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 244314240 is about 15630.5546926525. The cubic root of 244314240 is about 625.1481163624.

Adding to 244314240 its reverse (42413442), we get a palindrome (286727682).

The spelling of 244314240 in words is "two hundred forty-four million, three hundred fourteen thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 127247 254494 381741 508988 636235 763482 1017976 1272470 1526964 1908705 2035952 2544940 3053928 3817410 4071904 5089880 6107856 7634820 8143808 10179760 12215712 15269640 16287616 20359520 24431424 30539280 40719040 48862848 61078560 81438080 122157120 244314240