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340648 = 23721179
BaseRepresentation
bin1010011001010101000
3122022021121
41103022220
541400043
611145024
72616100
oct1231250
9568247
10340648
11212a30
12145174
13bc089
148c200
156aded
hex532a8

340648 has 48 divisors (see below), whose sum is σ = 820800. Its totient is φ = 131040.

The previous prime is 340643. The next prime is 340649. The reversal of 340648 is 846043.

It is a super-3 number, since 3×3406483 = 118587464922533376, which contains 333 as substring.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 340648.

It is not an unprimeable number, because it can be changed into a prime (340643) by changing a digit.

340648 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, 4273 + ... + 4351.

It is an arithmetic number, because the mean of its divisors is an integer number (17100).

2340648 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 340648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410400).

340648 is an abundant number, since it is smaller than the sum of its proper divisors (480152).

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

340648 is a wasteful number, since it uses less digits than its factorization.

340648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 340648 is about 583.6505803989. The cubic root of 340648 is about 69.8396328861.

The spelling of 340648 in words is "three hundred forty thousand, six hundred forty-eight".

Divisors: 1 2 4 7 8 11 14 22 28 44 49 56 77 79 88 98 154 158 196 308 316 392 539 553 616 632 869 1078 1106 1738 2156 2212 3476 3871 4312 4424 6083 6952 7742 12166 15484 24332 30968 42581 48664 85162 170324 340648