Cookie Consent by FreePrivacyPolicy.com
Search a number
-
+
343440 = 2434553
BaseRepresentation
bin1010011110110010000
3122110010000
41103312100
541442230
611210000
72630166
oct1236620
9573100
10343440
11215039
12146900
13c0426
148d236
156bb60
hex53d90

343440 has 100 divisors (see below), whose sum is σ = 1215324. Its totient is φ = 89856.

The previous prime is 343433. The next prime is 343481. The reversal of 343440 is 44343.

It can be written as a sum of positive squares in 2 ways, for example, as 186624 + 156816 = 432^2 + 396^2 .

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 343440.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6454 + ... + 6506.

2343440 is an apocalyptic number.

343440 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 343440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607662).

343440 is an abundant number, since it is smaller than the sum of its proper divisors (871884).

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

343440 is a wasteful number, since it uses less digits than its factorization.

343440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 343440 is about 586.0375414596. The cubic root of 343440 is about 70.0299191830.

Adding to 343440 its reverse (44343), we get a palindrome (387783).

The spelling of 343440 in words is "three hundred forty-three thousand, four hundred forty", and thus it is an iban number.

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 53 54 60 72 80 81 90 106 108 120 135 144 159 162 180 212 216 240 265 270 318 324 360 405 424 432 477 530 540 636 648 720 795 810 848 954 1060 1080 1272 1296 1431 1590 1620 1908 2120 2160 2385 2544 2862 3180 3240 3816 4240 4293 4770 5724 6360 6480 7155 7632 8586 9540 11448 12720 14310 17172 19080 21465 22896 28620 34344 38160 42930 57240 68688 85860 114480 171720 343440