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340680 = 233517167
BaseRepresentation
bin1010011001011001000
3122022022210
41103023020
541400210
611145120
72616144
oct1231310
9568283
10340680
11212a5a
121451a0
13bc0b2
148c224
156ae20
hex532c8

340680 has 64 divisors (see below), whose sum is σ = 1088640. Its totient is φ = 84992.

The previous prime is 340661. The next prime is 340687. The reversal of 340680 is 86043.

It is not an unprimeable number, because it can be changed into a prime (340687) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1957 + ... + 2123.

It is an arithmetic number, because the mean of its divisors is an integer number (17010).

2340680 is an apocalyptic number.

340680 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 340680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544320).

340680 is an abundant number, since it is smaller than the sum of its proper divisors (747960).

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

340680 is a wasteful number, since it uses less digits than its factorization.

340680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 340680 is about 583.6779934176. The cubic root of 340680 is about 69.8418196970.

It can be divided in two parts, 3406 and 80, that added together give a triangular number (3486 = T83).

The spelling of 340680 in words is "three hundred forty thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 167 170 204 255 334 340 408 501 510 668 680 835 1002 1020 1336 1670 2004 2040 2505 2839 3340 4008 5010 5678 6680 8517 10020 11356 14195 17034 20040 22712 28390 34068 42585 56780 68136 85170 113560 170340 340680