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340080 = 243513109
BaseRepresentation
bin1010011000001110000
3122021111120
41103001300
541340310
611142240
72614326
oct1230160
9567446
10340080
11212564
12144980
13bba40
148bd16
156ab70
hex53070

340080 has 80 divisors (see below), whose sum is σ = 1145760. Its totient is φ = 82944.

The previous prime is 340079. The next prime is 340103. The reversal of 340080 is 80043.

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 (15).

It is a nialpdrome in base 13.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 3066 + ... + 3174.

It is an arithmetic number, because the mean of its divisors is an integer number (14322).

2340080 is an apocalyptic number.

340080 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 340080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572880).

340080 is an abundant number, since it is smaller than the sum of its proper divisors (805680).

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

340080 is a wasteful number, since it uses less digits than its factorization.

340080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 340080 is about 583.1637848838. The cubic root of 340080 is about 69.8007941826.

The spelling of 340080 in words is "three hundred forty thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 109 120 130 156 195 208 218 240 260 312 327 390 436 520 545 624 654 780 872 1040 1090 1308 1417 1560 1635 1744 2180 2616 2834 3120 3270 4251 4360 5232 5668 6540 7085 8502 8720 11336 13080 14170 17004 21255 22672 26160 28340 34008 42510 56680 68016 85020 113360 170040 340080