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244324032 = 2632361907
BaseRepresentation
bin11101001000000…
…01011011000000
3122000201221120020
432210001123000
51000021332112
640124413440
76024501651
oct1644013300
9560657506
10244324032
11115a07297
12699a7280
133b806044
142463d528
15166b248c
hexe9016c0

244324032 has 112 divisors (see below), whose sum is σ = 686360832. Its totient is φ = 76538880.

The previous prime is 244324027. The next prime is 244324037. The reversal of 244324032 is 230423442.

It is an interprime number because it is at equal distance from previous prime (244324027) and next prime (244324037).

It is a super-2 number, since 2×2443240322 = 119388465225474048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 244323993 and 244324011.

It is not an unprimeable number, because it can be changed into a prime (244324037) 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, 268923 + ... + 269829.

Almost surely, 2244324032 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 244324032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343180416).

244324032 is an abundant number, since it is smaller than the sum of its proper divisors (442036800).

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

244324032 is a wasteful number, since it uses less digits than its factorization.

244324032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1006 (or 996 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

The square root of 244324032 is about 15630.8679221597. The cubic root of 244324032 is about 625.1564681318.

Adding to 244324032 its reverse (230423442), we get a palindrome (474747474).

The spelling of 244324032 in words is "two hundred forty-four million, three hundred twenty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 61 64 69 92 96 122 138 183 184 192 244 276 366 368 488 552 732 736 907 976 1104 1403 1464 1472 1814 1952 2208 2721 2806 2928 3628 3904 4209 4416 5442 5612 5856 7256 8418 10884 11224 11712 14512 16836 20861 21768 22448 29024 33672 41722 43536 44896 55327 58048 62583 67344 83444 87072 89792 110654 125166 134688 165981 166888 174144 221308 250332 269376 331962 333776 442616 500664 663924 667552 885232 1001328 1272521 1327848 1335104 1770464 2002656 2545042 2655696 3540928 3817563 4005312 5090084 5311392 7635126 10180168 10622784 15270252 20360336 30540504 40720672 61081008 81441344 122162016 244324032