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40441344 = 293113233
BaseRepresentation
bin1001101001000…
…1011000000000
32211002122002120
42122101120000
540323110334
64002444240
71000513536
oct232213000
984078076
1040441344
11209121a9
1211663680
1384bc6b8
14552a156
15383c949
hex2691600

40441344 has 80 divisors (see below), whose sum is σ = 109158192. Its totient is φ = 13303808.

The previous prime is 40441327. The next prime is 40441361. The reversal of 40441344 is 44314404.

It is an interprime number because it is at equal distance from previous prime (40441327) and next prime (40441361).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 173452 + ... + 173684.

Almost surely, 240441344 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 40441344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54579096).

40441344 is an abundant number, since it is smaller than the sum of its proper divisors (68716848).

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

40441344 is a wasteful number, since it uses less digits than its factorization.

40441344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 40441344 is about 6359.3509102738. The cubic root of 40441344 is about 343.2484041248.

Adding to 40441344 its reverse (44314404), we get a palindrome (84755748).

The spelling of 40441344 in words is "forty million, four hundred forty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 113 128 192 226 233 256 339 384 452 466 512 678 699 768 904 932 1356 1398 1536 1808 1864 2712 2796 3616 3728 5424 5592 7232 7456 10848 11184 14464 14912 21696 22368 26329 28928 29824 43392 44736 52658 57856 59648 78987 86784 89472 105316 119296 157974 173568 178944 210632 315948 357888 421264 631896 842528 1263792 1685056 2527584 3370112 5055168 6740224 10110336 13480448 20220672 40441344