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340480 = 295719
BaseRepresentation
bin1010011001000000000
3122022001101
41103020000
541343410
611144144
72615440
oct1231000
9568041
10340480
11212898
12145054
13bbc8a
148c120
156ad3a
hex53200

340480 has 80 divisors (see below), whose sum is σ = 982080. Its totient is φ = 110592.

The previous prime is 340477. The next prime is 340481. The reversal of 340480 is 84043.

340480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17911 + ... + 17929.

It is an arithmetic number, because the mean of its divisors is an integer number (12276).

2340480 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 340480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491040).

340480 is an abundant number, since it is smaller than the sum of its proper divisors (641600).

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

340480 is an equidigital number, since it uses as much as digits as its factorization.

340480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 340480 is about 583.5066409219. The cubic root of 340480 is about 69.8281498815.

It can be divided in two parts, 340 and 480, that added together give a triangular number (820 = T40).

The spelling of 340480 in words is "three hundred forty thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 32 35 38 40 56 64 70 76 80 95 112 128 133 140 152 160 190 224 256 266 280 304 320 380 448 512 532 560 608 640 665 760 896 1064 1120 1216 1280 1330 1520 1792 2128 2240 2432 2560 2660 3040 3584 4256 4480 4864 5320 6080 8512 8960 9728 10640 12160 17024 17920 21280 24320 34048 42560 48640 68096 85120 170240 340480