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2330048 = 2672743
BaseRepresentation
bin1000111000110111000000
311101101020002
420320313000
51044030143
6121535132
725543100
oct10706700
94341202
102330048
111351666
129444a8
13637736
14449200
153105b8
hex238dc0

2330048 has 42 divisors (see below), whose sum is σ = 5385816. Its totient is φ = 997248.

The previous prime is 2330047. The next prime is 2330051. The reversal of 2330048 is 8400332.

2330048 is nontrivially palindromic in base 13.

It is a super-3 number, since 3×23300483 = 37950356333115211776, which contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2330047) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2765 + ... + 3507.

22330048 is an apocalyptic number.

2330048 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 2330048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2692908).

2330048 is an abundant number, since it is smaller than the sum of its proper divisors (3055768).

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

2330048 is an equidigital number, since it uses as much as digits as its factorization.

2330048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769 (or 752 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 2330048 is about 1526.4494750892. The cubic root of 2330048 is about 132.5729608848.

The spelling of 2330048 in words is "two million, three hundred thirty thousand, forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 392 448 743 784 1486 1568 2972 3136 5201 5944 10402 11888 20804 23776 36407 41608 47552 72814 83216 145628 166432 291256 332864 582512 1165024 2330048