Search a number
-
+
244055944 = 2311172341173
BaseRepresentation
bin11101000101111…
…11111110001000
3122000020022211001
432202333332020
5444434242234
640114544344
76022304236
oct1642777610
9560208731
10244055944
11115843930
12698980b4
133b741002
14245ad956
151665cd14
hexe8bff88

244055944 has 128 divisors (see below), whose sum is σ = 568270080. Its totient is φ = 96870400.

The previous prime is 244055941. The next prime is 244055947. The reversal of 244055944 is 449550442.

244055944 = T237 + T238 + ... + T1138.

It is an interprime number because it is at equal distance from previous prime (244055941) and next prime (244055947).

It is a super-2 number, since 2×2440559442 = 119126607603462272, which contains 22 as substring.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (244055941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1410642 + ... + 1410814.

It is an arithmetic number, because the mean of its divisors is an integer number (4439610).

Almost surely, 2244055944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 244055944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284135040).

244055944 is an abundant number, since it is smaller than the sum of its proper divisors (324214136).

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

244055944 is a wasteful number, since it uses less digits than its factorization.

244055944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 37.

The square root of 244055944 is about 15622.2899729841. The cubic root of 244055944 is about 624.9277305237.

The spelling of 244055944 in words is "two hundred forty-four million, fifty-five thousand, nine hundred forty-four".

Divisors: 1 2 4 8 11 17 22 23 34 41 44 46 68 82 88 92 136 164 173 184 187 253 328 346 374 391 451 506 692 697 748 782 902 943 1012 1384 1394 1496 1564 1804 1886 1903 2024 2788 2941 3128 3608 3772 3806 3979 4301 5576 5882 7093 7544 7612 7667 7958 8602 10373 11764 14186 15224 15334 15916 16031 17204 20746 23528 28372 30668 31832 32062 32351 34408 41492 43769 56744 61336 64124 64702 67643 78023 82984 87538 120581 128248 129404 135286 156046 163139 175076 176341 241162 258808 270572 312092 326278 350152 352682 482324 541144 624184 652556 705364 744073 964648 1305112 1326391 1410728 1488146 1794529 2652782 2773363 2976292 3589058 5305564 5546726 5952584 7178116 10611128 11093452 14356232 22186904 30506993 61013986 122027972 244055944