Search a number
-
+
40143348 = 2232733251
BaseRepresentation
bin1001100100100…
…0100111110100
32210112111022200
42121020213310
540234041343
63552224500
7665133000
oct231104764
983474280
1040143348
1120729323
121153b130
138416b7b
14548d700
1537ce4d3
hex26489f4

40143348 has 72 divisors (see below), whose sum is σ = 118372800. Its totient is φ = 11466000.

The previous prime is 40143347. The next prime is 40143373. The reversal of 40143348 is 84334104.

It is a super-2 number, since 2×401433482 = 3222976777298208, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40143343) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10723 + ... + 13973.

Almost surely, 240143348 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 40143348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59186400).

40143348 is an abundant number, since it is smaller than the sum of its proper divisors (78229452).

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

40143348 is a wasteful number, since it uses less digits than its factorization.

40143348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3282 (or 3263 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 40143348 is about 6335.8778397314. The cubic root of 40143348 is about 342.4032383344.

The spelling of 40143348 in words is "forty million, one hundred forty-three thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 343 441 588 686 882 1029 1372 1764 2058 3087 3251 4116 6174 6502 9753 12348 13004 19506 22757 29259 39012 45514 58518 68271 91028 117036 136542 159299 204813 273084 318598 409626 477897 637196 819252 955794 1115093 1433691 1911588 2230186 2867382 3345279 4460372 5734764 6690558 10035837 13381116 20071674 40143348