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1024123324 = 227217330203
BaseRepresentation
bin111101000010101…
…110000110111100
32122101001212002111
4331002232012330
54044133421244
6245342303404
734243622200
oct7502560674
92571055074
101024123324
11486100014
12246b87b64
13134235343
149a02ab00
155ed98e34
hex3d0ae1bc

1024123324 has 36 divisors (see below), whose sum is σ = 2096942904. Its totient is φ = 436358496.

The previous prime is 1024123291. The next prime is 1024123393. The reversal of 1024123324 is 4233214201.

It is a junction number, because it is equal to n+sod(n) for n = 1024123295 and 1024123304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18807 + ... + 49009.

It is an arithmetic number, because the mean of its divisors is an integer number (58248414).

Almost surely, 21024123324 is an apocalyptic number.

1024123324 is a gapful number since it is divisible by the number (14) 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 1024123324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1048471452).

1024123324 is an abundant number, since it is smaller than the sum of its proper divisors (1072819580).

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

1024123324 is a wasteful number, since it uses less digits than its factorization.

1024123324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30394 (or 30385 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 1024123324 is about 32001.9268794865. The cubic root of 1024123324 is about 1007.9773014436.

Adding to 1024123324 its reverse (4233214201), we get a palindrome (5257337525).

The spelling of 1024123324 in words is "one billion, twenty-four million, one hundred twenty-three thousand, three hundred twenty-four".

Divisors: 1 2 4 7 14 28 49 98 173 196 346 692 1211 2422 4844 8477 16954 30203 33908 60406 120812 211421 422842 845684 1479947 2959894 5225119 5919788 10450238 20900476 36575833 73151666 146303332 256030831 512061662 1024123324