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244011312 = 2433683827
BaseRepresentation
bin11101000101101…
…01000100110000
3122000011001121000
432202311010300
5444431330222
640114002000
76022030146
oct1642650460
9560131530
10244011312
11115813346
1269876300
133b7268bc
142459b596
151664e9ac
hexe8b5130

244011312 has 80 divisors (see below), whose sum is σ = 702276480. Its totient is φ = 81119808.

The previous prime is 244011293. The next prime is 244011331. The reversal of 244011312 is 213110442.

It is an interprime number because it is at equal distance from previous prime (244011293) and next prime (244011331).

It is a super-2 number, since 2×2440113122 = 119083040767922688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 294643 + ... + 295469.

It is an arithmetic number, because the mean of its divisors is an integer number (8778456).

Almost surely, 2244011312 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 244011312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351138240).

244011312 is an abundant number, since it is smaller than the sum of its proper divisors (458265168).

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

244011312 is a wasteful number, since it uses less digits than its factorization.

244011312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1527 (or 1515 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 244011312 is about 15620.8614359132. The cubic root of 244011312 is about 624.8896334186.

Adding to 244011312 its reverse (213110442), we get a palindrome (457121754).

The spelling of 244011312 in words is "two hundred forty-four million, eleven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 683 827 1366 1654 2049 2481 2732 3308 4098 4962 5464 6147 6616 7443 8196 9924 10928 12294 13232 14886 16392 18441 19848 22329 24588 29772 32784 36882 39696 44658 49176 59544 73764 89316 98352 119088 147528 178632 295056 357264 564841 1129682 1694523 2259364 3389046 4518728 5083569 6778092 9037456 10167138 13556184 15250707 20334276 27112368 30501414 40668552 61002828 81337104 122005656 244011312