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1023694848 = 2113511217
BaseRepresentation
bin111101000001000…
…101100000000000
32122100021002100000
4331001011200000
54044031213343
6245325200000
734240156041
oct7501054000
92570232300
101023694848
11485938100
12246a00000
131341152c7
1499d588c8
155ed11ed3
hex3d045800

1023694848 has 432 divisors, whose sum is σ = 3568448520. Its totient is φ = 291962880.

The previous prime is 1023694843. The next prime is 1023694849. The reversal of 1023694848 is 8484963201.

It is a happy number.

1023694848 is a `hidden beast` number, since 102 + 3 + 69 + 484 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×10236948482 = 2095902283643486208, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1023694843) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 60217336 + ... + 60217352.

Almost surely, 21023694848 is an apocalyptic number.

1023694848 is a gapful number since it is divisible by the number (18) 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 1023694848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1784224260).

1023694848 is an abundant number, since it is smaller than the sum of its proper divisors (2544753672).

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

1023694848 is an equidigital number, since it uses as much as digits as its factorization.

1023694848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 1023694848 is about 31995.2316447311. The cubic root of 1023694848 is about 1007.8367082427.

The spelling of 1023694848 in words is "one billion, twenty-three million, six hundred ninety-four thousand, eight hundred forty-eight".