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2314080 = 253251607
BaseRepresentation
bin1000110100111101100000
311100120022200
420310331200
51043022310
6121333200
725445406
oct10647540
94316280
102314080
11134066a
12937200
136303a2
14443476
1530a9c0
hex234f60

2314080 has 72 divisors (see below), whose sum is σ = 7901712. Its totient is φ = 616704.

The previous prime is 2314079. The next prime is 2314087. The reversal of 2314080 is 804132.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2314087) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 637 + ... + 2243.

It is an arithmetic number, because the mean of its divisors is an integer number (109746).

22314080 is an apocalyptic number.

2314080 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 2314080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3950856).

2314080 is an abundant number, since it is smaller than the sum of its proper divisors (5587632).

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

2314080 is a wasteful number, since it uses less digits than its factorization.

2314080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1628 (or 1617 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2314080 is about 1521.2100446684. The cubic root of 2314080 is about 132.2694221663.

It can be divided in two parts, 23140 and 80, that added together give a triangular number (23220 = T215).

The spelling of 2314080 in words is "two million, three hundred fourteen thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 1607 3214 4821 6428 8035 9642 12856 14463 16070 19284 24105 25712 28926 32140 38568 48210 51424 57852 64280 72315 77136 96420 115704 128560 144630 154272 192840 231408 257120 289260 385680 462816 578520 771360 1157040 2314080