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244420416 = 263447149
BaseRepresentation
bin11101001000110…
…00111101000000
3122000220211210000
432210120331000
51000032423131
640130440000
76025352652
oct1644307500
9560824700
10244420416
11115a72749
1269a33000
133b83ab86
14246666d2
15166d0ce6
hexe918f40

244420416 has 70 divisors (see below), whose sum is σ = 724554050. Its totient is φ = 81471744.

The previous prime is 244420403. The next prime is 244420417. The reversal of 244420416 is 614024442.

It is a happy number.

244420416 is a `hidden beast` number, since 2 + 444 + 204 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 127780416 + 116640000 = 11304^2 + 10800^2 .

It is a super-2 number, since 2×2444204162 = 119482679515226112, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 244420416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (244420417) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 18391 + ... + 28758.

Almost surely, 2244420416 is an apocalyptic number.

It is an amenable number.

244420416 is an abundant number, since it is smaller than the sum of its proper divisors (480133634).

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

244420416 is an equidigital number, since it uses as much as digits as its factorization.

244420416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47173 (or 47154 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 244420416 is about 15633.9507482914. The cubic root of 244420416 is about 625.2386638384.

Adding to 244420416 its reverse (614024442), we get a palindrome (858444858).

The spelling of 244420416 in words is "two hundred forty-four million, four hundred twenty thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 5184 47149 94298 141447 188596 282894 377192 424341 565788 754384 848682 1131576 1273023 1508768 1697364 2263152 2546046 3017536 3394728 3819069 4526304 5092092 6789456 7638138 9052608 10184184 13578912 15276276 20368368 27157824 30552552 40736736 61105104 81473472 122210208 244420416