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1040343120 = 243254771433
BaseRepresentation
bin111110000000100…
…110000001010000
32200111120220110200
4332000212001100
54112311434440
6251122055200
734531525215
oct7600460120
92614526420
101040343120
11494279203
122504aa500
131376c3c5b
149c24db0c
15614eec30
hex3e026050

1040343120 has 240 divisors, whose sum is σ = 3626767872. Its totient is φ = 267079680.

The previous prime is 1040343079. The next prime is 1040343121. The reversal of 1040343120 is 213430401.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1040343093 and 1040343102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1040343121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2402424 + ... + 2402856.

Almost surely, 21040343120 is an apocalyptic number.

1040343120 is a gapful number since it is divisible by the number (10) 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 1040343120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1813383936).

1040343120 is an abundant number, since it is smaller than the sum of its proper divisors (2586424752).

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

1040343120 is a wasteful number, since it uses less digits than its factorization.

1040343120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 570 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1040343120 is about 32254.3504042478. The cubic root of 1040343120 is about 1013.2708131249.

Adding to 1040343120 its reverse (213430401), we get a palindrome (1253773521).

The spelling of 1040343120 in words is "one billion, forty million, three hundred forty-three thousand, one hundred twenty".