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340928 = 267761
BaseRepresentation
bin1010011001111000000
3122022122222
41103033000
541402203
611150212
72616650
oct1231700
9568588
10340928
11213165
12145368
13bc243
148c360
156b038
hex533c0

340928 has 28 divisors (see below), whose sum is σ = 774192. Its totient is φ = 145920.

The previous prime is 340927. The next prime is 340931. The reversal of 340928 is 829043.

It is a tau number, because it is divible by the number of its divisors (28).

It is a junction number, because it is equal to n+sod(n) for n = 340897 and 340906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340927) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 68 + ... + 828.

2340928 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 340928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387096).

340928 is an abundant number, since it is smaller than the sum of its proper divisors (433264).

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

340928 is an equidigital number, since it uses as much as digits as its factorization.

340928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 780 (or 770 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 340928 is about 583.8904006746. The cubic root of 340928 is about 69.8587628402.

The spelling of 340928 in words is "three hundred forty thousand, nine hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 761 1522 3044 5327 6088 10654 12176 21308 24352 42616 48704 85232 170464 340928