Search a number
-
+
40021344 = 2533114211
BaseRepresentation
bin1001100010101…
…0110101100000
32210022021222000
42120222311200
540221140334
63545444000
7664114206
oct230526540
983267860
1040021344
11206556a0
12114a0600
1383a348c
14545b076
1537a8299
hex262ad60

40021344 has 96 divisors (see below), whose sum is σ = 127370880. Its totient is φ = 12124800.

The previous prime is 40021339. The next prime is 40021361. The reversal of 40021344 is 44312004.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7399 + ... + 11609.

It is an arithmetic number, because the mean of its divisors is an integer number (1326780).

Almost surely, 240021344 is an apocalyptic number.

40021344 is a gapful number since it is divisible by the number (44) 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 40021344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63685440).

40021344 is an abundant number, since it is smaller than the sum of its proper divisors (87349536).

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

40021344 is a wasteful number, since it uses less digits than its factorization.

40021344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4241 (or 4227 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 40021344 is about 6326.2424866583. The cubic root of 40021344 is about 342.0560080633.

Adding to 40021344 its reverse (44312004), we get a palindrome (84333348).

The spelling of 40021344 in words is "forty million, twenty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 88 96 99 108 132 144 176 198 216 264 288 297 352 396 432 528 594 792 864 1056 1188 1584 2376 3168 4211 4752 8422 9504 12633 16844 25266 33688 37899 46321 50532 67376 75798 92642 101064 113697 134752 138963 151596 185284 202128 227394 277926 303192 370568 404256 416889 454788 555852 606384 741136 833778 909576 1111704 1212768 1250667 1482272 1667556 1819152 2223408 2501334 3335112 3638304 4446816 5002668 6670224 10005336 13340448 20010672 40021344