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276340 = 22541337
BaseRepresentation
bin1000011011101110100
3112001001211
41003131310
532320330
65531204
72230441
oct1033564
9461054
10276340
11179689
12113b04
1398a1c
14729c8
1556d2a
hex43774

276340 has 24 divisors (see below), whose sum is σ = 596232. Its totient is φ = 107520.

The previous prime is 276337. The next prime is 276343. The reversal of 276340 is 43672.

It can be divided in two parts, 276 and 340, that added together give a palindrome (616).

276340 = T95 + T96 + ... + T135.

It is an interprime number because it is at equal distance from previous prime (276337) and next prime (276343).

It can be written as a sum of positive squares in 4 ways, for example, as 1764 + 274576 = 42^2 + 524^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (276343) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 652 + ... + 988.

It is an arithmetic number, because the mean of its divisors is an integer number (24843).

276340 is a Friedman number, since it can be written as 20*((6*4)^3-7), using all its digits and the basic arithmetic operations.

2276340 is an apocalyptic number.

276340 is a gapful number since it is divisible by the number (20) 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 276340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298116).

276340 is an abundant number, since it is smaller than the sum of its proper divisors (319892).

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

276340 is a wasteful number, since it uses less digits than its factorization.

276340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 22.

The square root of 276340 is about 525.6805113374. The cubic root of 276340 is about 65.1350250371.

The spelling of 276340 in words is "two hundred seventy-six thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 41 82 164 205 337 410 674 820 1348 1685 3370 6740 13817 27634 55268 69085 138170 276340