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2284040 = 2351129179
BaseRepresentation
bin1000101101101000001000
311022001010002
420231220020
51041042130
6120542132
725262003
oct10555010
94261102
102284040
111320040
12921948
1361c805
1443653a
15301b45
hex22da08

2284040 has 64 divisors (see below), whose sum is σ = 5832000. Its totient is φ = 797440.

The previous prime is 2284033. The next prime is 2284043. The reversal of 2284040 is 404822.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (2284043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12671 + ... + 12849.

It is an arithmetic number, because the mean of its divisors is an integer number (91125).

22284040 is an apocalyptic number.

2284040 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 2284040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2916000).

2284040 is an abundant number, since it is smaller than the sum of its proper divisors (3547960).

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

2284040 is a wasteful number, since it uses less digits than its factorization.

2284040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 2284040 is about 1511.3040726472. The cubic root of 2284040 is about 131.6945800635.

Adding to 2284040 its reverse (404822), we get a palindrome (2688862).

The spelling of 2284040 in words is "two million, two hundred eighty-four thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 29 40 44 55 58 88 110 116 145 179 220 232 290 319 358 440 580 638 716 895 1160 1276 1432 1595 1790 1969 2552 3190 3580 3938 5191 6380 7160 7876 9845 10382 12760 15752 19690 20764 25955 39380 41528 51910 57101 78760 103820 114202 207640 228404 285505 456808 571010 1142020 2284040