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2302048 = 25743239
BaseRepresentation
bin1000110010000001100000
311022221211001
420302001200
51042131143
6121201344
725365340
oct10620140
94287731
102302048
111332621
12930254
13627a78
1443cd20
1530714d
hex232060

2302048 has 48 divisors (see below), whose sum is σ = 5322240. Its totient is φ = 959616.

The previous prime is 2302043. The next prime is 2302051. The reversal of 2302048 is 8402032.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2302043) 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, 9513 + ... + 9751.

It is an arithmetic number, because the mean of its divisors is an integer number (110880).

22302048 is an apocalyptic number.

2302048 is a gapful number since it is divisible by the number (28) 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 2302048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2661120).

2302048 is an abundant number, since it is smaller than the sum of its proper divisors (3020192).

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

2302048 is a wasteful number, since it uses less digits than its factorization.

2302048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 2302048 is about 1517.2501441753. The cubic root of 2302048 is about 132.0397798686.

It can be divided in two parts, 230 and 2048, that added together give a triangular number (2278 = T67).

The spelling of 2302048 in words is "two million, three hundred two thousand, forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 43 56 86 112 172 224 239 301 344 478 602 688 956 1204 1376 1673 1912 2408 3346 3824 4816 6692 7648 9632 10277 13384 20554 26768 41108 53536 71939 82216 143878 164432 287756 328864 575512 1151024 2302048