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244331412 = 2231321719373
BaseRepresentation
bin11101001000000…
…11001110010100
3122000202022200120
432210003032110
51000022101122
640124511540
76024532323
oct1644031624
9560668616
10244331412
11115a11896
12699ab5b0
133b809500
14246420ba
15166b475c
hexe903394

244331412 has 144 divisors (see below), whose sum is σ = 689895360. Its totient is φ = 66852864.

The previous prime is 244331411. The next prime is 244331419. The reversal of 244331412 is 214133442.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (244331411) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 654858 + ... + 655230.

It is an arithmetic number, because the mean of its divisors is an integer number (4790940).

Almost surely, 2244331412 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 244331412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344947680).

244331412 is an abundant number, since it is smaller than the sum of its proper divisors (445563948).

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

244331412 is a wasteful number, since it uses less digits than its factorization.

244331412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 427 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 244331412 is about 15631.1039917211. The cubic root of 244331412 is about 625.1627625164.

Adding to 244331412 its reverse (214133442), we get a palindrome (458464854).

The spelling of 244331412 in words is "two hundred forty-four million, three hundred thirty-one thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 13 17 19 26 34 38 39 51 52 57 68 76 78 102 114 156 169 204 221 228 247 323 338 373 442 494 507 646 663 676 741 746 884 969 988 1014 1119 1292 1326 1482 1492 1938 2028 2238 2652 2873 2964 3211 3876 4199 4476 4849 5746 6341 6422 7087 8398 8619 9633 9698 11492 12597 12682 12844 14174 14547 16796 17238 19023 19266 19396 21261 25194 25364 28348 29094 34476 38046 38532 42522 50388 54587 58188 63037 76092 82433 85044 92131 109174 120479 126074 163761 164866 184262 189111 218348 240958 247299 252148 276393 327522 329732 361437 368524 378222 481916 494598 552786 655044 722874 756444 989196 1071629 1105572 1197703 1445748 1566227 2143258 2395406 3132454 3214887 3593109 4286516 4698681 4790812 6264908 6429774 7186218 9397362 12859548 14372436 18794724 20360951 40721902 61082853 81443804 122165706 244331412