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340384 = 2511967
BaseRepresentation
bin1010011000110100000
3122021220211
41103012200
541343014
611143504
72615242
oct1230640
9567824
10340384
11212810
12144b94
13bbc15
148c092
156acc4
hex531a0

340384 has 24 divisors (see below), whose sum is σ = 731808. Its totient is φ = 154560.

The previous prime is 340381. The next prime is 340387. The reversal of 340384 is 483043.

It is an interprime number because it is at equal distance from previous prime (340381) and next prime (340387).

It is a super-2 number, since 2×3403842 = 231722534912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 132 + ... + 835.

It is an arithmetic number, because the mean of its divisors is an integer number (30492).

2340384 is an apocalyptic number.

It is an amenable number.

340384 is an abundant number, since it is smaller than the sum of its proper divisors (391424).

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

340384 is a wasteful number, since it uses less digits than its factorization.

340384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 988 (or 980 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 340384 is about 583.4243738481. The cubic root of 340384 is about 69.8215864685.

The spelling of 340384 in words is "three hundred forty thousand, three hundred eighty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 967 1934 3868 7736 10637 15472 21274 30944 42548 85096 170192 340384