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40350 = 2352269
BaseRepresentation
bin1001110110011110
32001100110
421312132
52242400
6510450
7225432
oct116636
961313
1040350
1128352
121b426
131549b
14109c2
15be50
hex9d9e

40350 has 24 divisors (see below), whose sum is σ = 100440. Its totient is φ = 10720.

The previous prime is 40343. The next prime is 40351. The reversal of 40350 is 5304.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40351) by changing a digit.

40350 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16 + ... + 284.

It is an arithmetic number, because the mean of its divisors is an integer number (4185).

240350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50220).

40350 is an abundant number, since it is smaller than the sum of its proper divisors (60090).

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

40350 is a wasteful number, since it uses less digits than its factorization.

40350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 12.

The square root of 40350 is about 200.8730942660. The cubic root of 40350 is about 34.2989780031.

Adding to 40350 its reverse (5304), we get a palindrome (45654).

The spelling of 40350 in words is "forty thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 150 269 538 807 1345 1614 2690 4035 6725 8070 13450 20175 40350