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12481344 = 263331233
BaseRepresentation
bin101111100111…
…001101000000
3212111010012000
4233213031000
511143400334
61123304000
7211042521
oct57471500
925433160
1012481344
117055467
12421b000
132780115
14192c848
151168299
hexbe7340

12481344 has 112 divisors (see below), whose sum is σ = 38039040. Its totient is φ = 4008960.

The previous prime is 12481333. The next prime is 12481351. The reversal of 12481344 is 44318421.

12481344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×124813443 (a number of 22 digits) contains 333 as substring.

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

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

It is a congruent number.

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, 53452 + ... + 53684.

Almost surely, 212481344 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 12481344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19019520).

12481344 is an abundant number, since it is smaller than the sum of its proper divisors (25557696).

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

12481344 is a wasteful number, since it uses less digits than its factorization.

12481344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 269 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 12481344 is about 3532.8945639518. The cubic root of 12481344 is about 231.9639262184.

Adding to 12481344 its reverse (44318421), we get a palindrome (56799765).

The spelling of 12481344 in words is "twelve million, four hundred eighty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 64 72 93 96 108 124 144 186 192 216 233 248 279 288 372 432 466 496 558 576 699 744 837 864 932 992 1116 1398 1488 1674 1728 1864 1984 2097 2232 2796 2976 3348 3728 4194 4464 5592 5952 6291 6696 7223 7456 8388 8928 11184 12582 13392 14446 14912 16776 17856 21669 22368 25164 26784 28892 33552 43338 44736 50328 53568 57784 65007 67104 86676 100656 115568 130014 134208 173352 195021 201312 231136 260028 346704 390042 402624 462272 520056 693408 780084 1040112 1386816 1560168 2080224 3120336 4160448 6240672 12481344