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1040353128 = 233235340933
BaseRepresentation
bin111110000000101…
…000011101101000
32200111121102012100
4332000220131220
54112312300003
6251122213400
734531566333
oct7600503550
92614542170
101040353128
11494285781
122504b4260
131376c8689
149c25361a
1561502ba3
hex3e028768

1040353128 has 48 divisors (see below), whose sum is σ = 2825674020. Its totient is φ = 345793536.

The previous prime is 1040353123. The next prime is 1040353141. The reversal of 1040353128 is 8213530401.

It is a happy number.

1040353128 is a `hidden beast` number, since 104 + 0 + 3 + 531 + 28 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1013912964 + 26440164 = 31842^2 + 5142^2 .

It is not an unprimeable number, because it can be changed into a prime (1040353123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4950 + ... + 45882.

Almost surely, 21040353128 is an apocalyptic number.

1040353128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1040353128 is an abundant number, since it is smaller than the sum of its proper divisors (1785320892).

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

1040353128 is a wasteful number, since it uses less digits than its factorization.

1040353128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41298 (or 41291 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1040353128 is about 32254.5055457373. The cubic root of 1040353128 is about 1013.2740623035.

Adding to 1040353128 its reverse (8213530401), we get a palindrome (9253883529).

The spelling of 1040353128 in words is "one billion, forty million, three hundred fifty-three thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 353 706 1059 1412 2118 2824 3177 4236 6354 8472 12708 25416 40933 81866 122799 163732 245598 327464 368397 491196 736794 982392 1473588 2947176 14449349 28898698 43348047 57797396 86696094 115594792 130044141 173392188 260088282 346784376 520176564 1040353128