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340896 = 2535367
BaseRepresentation
bin1010011001110100000
3122022121210
41103032200
541402041
611150120
72616603
oct1231640
9568553
10340896
11213136
12145340
13bc21a
148c33a
156b016
hex533a0

340896 has 48 divisors (see below), whose sum is σ = 925344. Its totient is φ = 109824.

The previous prime is 340889. The next prime is 340897. The reversal of 340896 is 698043.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (340897) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5055 + ... + 5121.

It is an arithmetic number, because the mean of its divisors is an integer number (19278).

2340896 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 340896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462672).

340896 is an abundant number, since it is smaller than the sum of its proper divisors (584448).

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

340896 is a wasteful number, since it uses less digits than its factorization.

340896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 340896 is about 583.8629976287. The cubic root of 340896 is about 69.8565770900.

The spelling of 340896 in words is "three hundred forty thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 67 96 106 134 159 201 212 268 318 402 424 536 636 804 848 1072 1272 1608 1696 2144 2544 3216 3551 5088 6432 7102 10653 14204 21306 28408 42612 56816 85224 113632 170448 340896