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11444328 = 23357292
BaseRepresentation
bin101011101010…
…000001101000
3210112102200000
4223222001220
510412204303
61045143000
7166163250
oct53520150
923472600
1011444328
116507325
1239baa60
1324a90bc
14173c960
151010da3
hexaea068

11444328 has 144 divisors (see below), whose sum is σ = 38045280. Its totient is φ = 3157056.

The previous prime is 11444309. The next prime is 11444341. The reversal of 11444328 is 82344411.

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 an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 394618 + ... + 394646.

Almost surely, 211444328 is an apocalyptic number.

11444328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11444328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19022640).

11444328 is an abundant number, since it is smaller than the sum of its proper divisors (26600952).

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

11444328 is an equidigital number, since it uses as much as digits as its factorization.

11444328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 41 counting only the distinct ones).

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

The square root of 11444328 is about 3382.9466445689. The cubic root of 11444328 is about 225.3530457489.

Adding to 11444328 its reverse (82344411), we get a palindrome (93788739).

The spelling of 11444328 in words is "eleven million, four hundred forty-four thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 29 36 42 54 56 58 63 72 81 84 87 108 116 126 162 168 174 189 203 216 232 243 252 261 324 348 378 406 486 504 522 567 609 648 696 756 783 812 841 972 1044 1134 1218 1512 1566 1624 1682 1701 1827 1944 2088 2268 2349 2436 2523 3132 3364 3402 3654 4536 4698 4872 5046 5481 5887 6264 6728 6804 7047 7308 7569 9396 10092 10962 11774 13608 14094 14616 15138 16443 17661 18792 20184 21924 22707 23548 28188 30276 32886 35322 43848 45414 47096 49329 52983 56376 60552 65772 68121 70644 90828 98658 105966 131544 136242 141288 158949 181656 197316 204363 211932 272484 317898 394632 408726 423864 476847 544968 635796 817452 953694 1271592 1430541 1634904 1907388 2861082 3814776 5722164 11444328