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2306440 = 235232109
BaseRepresentation
bin1000110011000110001000
311100011211201
420303012020
51042301230
6121233544
725414213
oct10630610
94304751
102306440
111335954
129328b4
13629a76
1444077a
153085ca
hex233188

2306440 has 48 divisors (see below), whose sum is σ = 5474700. Its totient is φ = 874368.

The previous prime is 2306413. The next prime is 2306449. The reversal of 2306440 is 446032.

It can be written as a sum of positive squares in 2 ways, for example, as 2304324 + 2116 = 1518^2 + 46^2 .

It is not an unprimeable number, because it can be changed into a prime (2306449) 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, 21106 + ... + 21214.

22306440 is an apocalyptic number.

2306440 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 2306440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2737350).

2306440 is an abundant number, since it is smaller than the sum of its proper divisors (3168260).

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

2306440 is a wasteful number, since it uses less digits than its factorization.

2306440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 2306440 is about 1518.6968097682. The cubic root of 2306440 is about 132.1236979423.

It can be divided in two parts, 23064 and 40, that added together give a square (23104 = 1522).

The spelling of 2306440 in words is "two million, three hundred six thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 109 115 184 218 230 436 460 529 545 872 920 1058 1090 2116 2180 2507 2645 4232 4360 5014 5290 10028 10580 12535 20056 21160 25070 50140 57661 100280 115322 230644 288305 461288 576610 1153220 2306440