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2684340 = 223451657
BaseRepresentation
bin1010001111010110110100
312001101020000
422033112310
51141344330
6133311300
731550031
oct12172664
95041200
102684340
11157386a
12a95530
1372ca89
144dc388
15380560
hex28f5b4

2684340 has 60 divisors (see below), whose sum is σ = 8425956. Its totient is φ = 715392.

The previous prime is 2684333. The next prime is 2684347. The reversal of 2684340 is 434862.

It is an interprime number because it is at equal distance from previous prime (2684333) and next prime (2684347).

It can be written as a sum of positive squares in 2 ways, for example, as 910116 + 1774224 = 954^2 + 1332^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2684347) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 792 + ... + 2448.

22684340 is an apocalyptic number.

2684340 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 2684340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4212978).

2684340 is an abundant number, since it is smaller than the sum of its proper divisors (5741616).

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

2684340 is a wasteful number, since it uses less digits than its factorization.

2684340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1678 (or 1667 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 2684340 is about 1638.3955566346. The cubic root of 2684340 is about 138.9779306956.

The spelling of 2684340 in words is "two million, six hundred eighty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 1657 3314 4971 6628 8285 9942 14913 16570 19884 24855 29826 33140 44739 49710 59652 74565 89478 99420 134217 149130 178956 223695 268434 298260 447390 536868 671085 894780 1342170 2684340