Search a number
-
+
244434320 = 24513613853
BaseRepresentation
bin11101001000111…
…00010110010000
3122000221112211222
432210130112100
51000033344240
640131024212
76025441334
oct1644342620
9560845758
10244434320
11115a82139
1269a3b068
133b8442c0
142466b7c4
15166d4eb5
hexe91c590

244434320 has 80 divisors (see below), whose sum is σ = 622220592. Its totient is φ = 88750080.

The previous prime is 244434319. The next prime is 244434329. The reversal of 244434320 is 23434442.

It can be written as a sum of positive squares in 8 ways, for example, as 12054784 + 232379536 = 3472^2 + 15244^2 .

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 (26).

It is a self number, because there is not a number n which added to its sum of digits gives 244434320.

It is not an unprimeable number, because it can be changed into a prime (244434329) 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, 61514 + ... + 65366.

Almost surely, 2244434320 is an apocalyptic number.

244434320 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 244434320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311110296).

244434320 is an abundant number, since it is smaller than the sum of its proper divisors (377786272).

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

244434320 is a wasteful number, since it uses less digits than its factorization.

244434320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3940 (or 3934 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 26.

The square root of 244434320 is about 15634.3954152375. The cubic root of 244434320 is about 625.2505193040.

Adding to 244434320 its reverse (23434442), we get a palindrome (267868762).

It can be divided in two parts, 24 and 4434320, that added together give a palindrome (4434344).

The spelling of 244434320 in words is "two hundred forty-four million, four hundred thirty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 61 65 80 104 122 130 208 244 260 305 488 520 610 793 976 1040 1220 1586 2440 3172 3853 3965 4880 6344 7706 7930 12688 15412 15860 19265 30824 31720 38530 50089 61648 63440 77060 100178 154120 200356 235033 250445 308240 400712 470066 500890 801424 940132 1001780 1175165 1880264 2003560 2350330 3055429 3760528 4007120 4700660 6110858 9401320 12221716 15277145 18802640 24443432 30554290 48886864 61108580 122217160 244434320