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40348 = 22711131
BaseRepresentation
bin1001110110011100
32001100101
421312130
52242343
6510444
7225430
oct116634
961311
1040348
1128350
121b424
1315499
14109c0
15be4d
hex9d9c

40348 has 24 divisors (see below), whose sum is σ = 88704. Its totient is φ = 15600.

The previous prime is 40343. The next prime is 40351. The reversal of 40348 is 84304.

It is a super-2 number, since 2×403482 = 3255922208, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40343) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 243 + ... + 373.

It is an arithmetic number, because the mean of its divisors is an integer number (3696).

240348 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 40348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44352).

40348 is an abundant number, since it is smaller than the sum of its proper divisors (48356).

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

40348 is a wasteful number, since it uses less digits than its factorization.

40348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 40348 is about 200.8681159368. The cubic root of 40348 is about 34.2984113026.

Subtracting 40348 from its reverse (84304), we obtain a triangular number (43956 = T296).

The spelling of 40348 in words is "forty thousand, three hundred forty-eight".

Divisors: 1 2 4 7 11 14 22 28 44 77 131 154 262 308 524 917 1441 1834 2882 3668 5764 10087 20174 40348