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340340 = 2257111317
BaseRepresentation
bin1010011000101110100
3122021212012
41103011310
541342330
611143352
72615150
oct1230564
9567765
10340340
11212780
12144b58
13bbbb0
148c060
156ac95
hex53174

340340 has 96 divisors (see below), whose sum is σ = 1016064. Its totient is φ = 92160.

The previous prime is 340339. The next prime is 340369. The reversal of 340340 is 43043.

340340 is nontrivially palindromic in base 9.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a nialpdrome in base 13.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20012 + ... + 20028.

It is an arithmetic number, because the mean of its divisors is an integer number (10584).

2340340 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 340340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508032).

340340 is an abundant number, since it is smaller than the sum of its proper divisors (675724).

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

340340 is a wasteful number, since it uses less digits than its factorization.

340340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

The square root of 340340 is about 583.3866642288. The cubic root of 340340 is about 69.8185778252.

340340 divided by its sum of digits (14) gives a triangular number (24310 = T220).

Adding to 340340 its reverse (43043), we get a palindrome (383383).

It can be divided in two parts, 3403 and 40, that added together give a palindrome (3443).

The spelling of 340340 in words is "three hundred forty thousand, three hundred forty", and thus it is an iban number.

Divisors: 1 2 4 5 7 10 11 13 14 17 20 22 26 28 34 35 44 52 55 65 68 70 77 85 91 110 119 130 140 143 154 170 182 187 220 221 238 260 286 308 340 364 374 385 442 455 476 572 595 715 748 770 884 910 935 1001 1105 1190 1309 1430 1540 1547 1820 1870 2002 2210 2380 2431 2618 2860 3094 3740 4004 4420 4862 5005 5236 6188 6545 7735 9724 10010 12155 13090 15470 17017 20020 24310 26180 30940 34034 48620 68068 85085 170170 340340