Search a number
-
+
244321434 = 236737647
BaseRepresentation
bin11101001000000…
…00110010011010
3122000201211000000
432210000302122
51000021241214
640124353430
76024461250
oct1644006232
9560654000
10244321434
11115a05345
12699a5876
133b804ac6
142463c5d0
15166b1809
hexe900c9a

244321434 has 112 divisors (see below), whose sum is σ = 645936768. Its totient is φ = 67814496.

The previous prime is 244321421. The next prime is 244321439. The reversal of 244321434 is 434123442.

It is a happy number.

244321434 is a `hidden beast` number, since 2 + 443 + 214 + 3 + 4 = 666.

It is a super-2 number, since 2×2443214342 = 119385926223632712, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 244321398 and 244321407.

It is not an unprimeable number, because it can be changed into a prime (244321439) 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 55 ways as a sum of consecutive naturals, for example, 377299 + ... + 377945.

Almost surely, 2244321434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 244321434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322968384).

244321434 is an abundant number, since it is smaller than the sum of its proper divisors (401615334).

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

244321434 is an equidigital number, since it uses as much as digits as its factorization.

244321434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 711 (or 696 counting only the distinct ones).

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

The square root of 244321434 is about 15630.7848171485. The cubic root of 244321434 is about 625.1542522735.

Adding to 244321434 its reverse (434123442), we get a palindrome (678444876).

The spelling of 244321434 in words is "two hundred forty-four million, three hundred twenty-one thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 37 42 54 63 74 81 111 126 162 189 222 243 259 333 378 486 518 567 647 666 729 777 999 1134 1294 1458 1554 1701 1941 1998 2331 2997 3402 3882 4529 4662 5103 5823 5994 6993 8991 9058 10206 11646 13587 13986 17469 17982 20979 23939 26973 27174 34938 40761 41958 47878 52407 53946 62937 71817 81522 104814 122283 125874 143634 157221 167573 188811 215451 244566 314442 335146 366849 377622 430902 471663 502719 646353 733698 943326 1005438 1100547 1292706 1508157 1939059 2201094 3016314 3301641 3878118 4524471 5817177 6603282 9048942 11634354 13573413 17451531 27146826 34903062 40720239 81440478 122160717 244321434