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354040 = 23553167
BaseRepresentation
bin1010110011011111000
3122222122121
41112123320
542312130
611331024
73003121
oct1263370
9588577
10354040
11221aa5
12150a74
13c51bb
1493048
156ed7a
hex566f8

354040 has 32 divisors (see below), whose sum is σ = 816480. Its totient is φ = 138112.

The previous prime is 354037. The next prime is 354041. The reversal of 354040 is 40453.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (354041) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 2037 + ... + 2203.

It is an arithmetic number, because the mean of its divisors is an integer number (25515).

2354040 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 354040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408240).

354040 is an abundant number, since it is smaller than the sum of its proper divisors (462440).

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

354040 is a wasteful number, since it uses less digits than its factorization.

354040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 16.

The square root of 354040 is about 595.0126049085. The cubic root of 354040 is about 70.7431038740.

Adding to 354040 its reverse (40453), we get a palindrome (394493).

The spelling of 354040 in words is "three hundred fifty-four thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 53 106 167 212 265 334 424 530 668 835 1060 1336 1670 2120 3340 6680 8851 17702 35404 44255 70808 88510 177020 354040