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1024245432 = 233372294771
BaseRepresentation
bin111101000011001…
…011111010111000
32122101022001121000
4331003023322320
54044201323212
6245345045000
734244641200
oct7503137270
92571261530
101024245432
11486183831
12247026760
13134278ab2
149a05d400
155edc01dc
hex3d0cbeb8

1024245432 has 384 divisors, whose sum is σ = 3545856000. Its totient is φ = 272643840.

The previous prime is 1024245401. The next prime is 1024245451. The reversal of 1024245432 is 2345424201.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1024245396 and 1024245405.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14425957 + ... + 14426027.

It is an arithmetic number, because the mean of its divisors is an integer number (9234000).

Almost surely, 21024245432 is an apocalyptic number.

1024245432 is a gapful number since it is divisible by the number (12) 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 1024245432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1772928000).

1024245432 is an abundant number, since it is smaller than the sum of its proper divisors (2521610568).

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

1024245432 is a wasteful number, since it uses less digits than its factorization.

1024245432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 1024245432 is about 32003.8346452421. The cubic root of 1024245432 is about 1008.0173608121.

Adding to 1024245432 its reverse (2345424201), we get a palindrome (3369669633).

The spelling of 1024245432 in words is "one billion, twenty-four million, two hundred forty-five thousand, four hundred thirty-two".