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1234048 = 2731311
BaseRepresentation
bin100101101010010000000
32022200210111
410231102000
5303442143
642241104
713326544
oct4552200
92280714
101234048
11773182
124b6194
1334290a
14241a24
1519599d
hex12d480

1234048 has 32 divisors (see below), whose sum is σ = 2545920. Its totient is φ = 595200.

The previous prime is 1234039. The next prime is 1234049. The reversal of 1234048 is 8404321.

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (1234049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3813 + ... + 4123.

It is an arithmetic number, because the mean of its divisors is an integer number (79560).

21234048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1234048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1272960).

1234048 is an abundant number, since it is smaller than the sum of its proper divisors (1311872).

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

1234048 is an equidigital number, since it uses as much as digits as its factorization.

1234048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 1234048 is about 1110.8771309195. The cubic root of 1234048 is about 107.2615374015.

Adding to 1234048 its reverse (8404321), we get a palindrome (9638369).

The spelling of 1234048 in words is "one million, two hundred thirty-four thousand, forty-eight".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 311 496 622 992 1244 1984 2488 3968 4976 9641 9952 19282 19904 38564 39808 77128 154256 308512 617024 1234048