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1040440032 = 25335322721
BaseRepresentation
bin111110000000111…
…101101011100000
32200111202211102000
4332000331223200
54112323040112
6251124124000
734532410602
oct7600755340
92614684360
101040440032
11494334aa5
12250536600
131377290b8
149c277172
156151d7dc
hex3e03dae0

1040440032 has 96 divisors (see below), whose sum is σ = 3092009760. Its totient is φ = 340254720.

The previous prime is 1040440021. The next prime is 1040440091. The reversal of 1040440032 is 2300440401.

1040440032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×10404400322 = 2165030920376322048, which contains 22 as substring.

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 = 1040439987 and 1040440014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34432 + ... + 57152.

It is an arithmetic number, because the mean of its divisors is an integer number (32208435).

Almost surely, 21040440032 is an apocalyptic number.

1040440032 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 1040440032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1546004880).

1040440032 is an abundant number, since it is smaller than the sum of its proper divisors (2051569728).

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

1040440032 is a wasteful number, since it uses less digits than its factorization.

1040440032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22793 (or 22779 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 1040440032 is about 32255.8526782350. The cubic root of 1040440032 is about 1013.3022755178.

Adding to 1040440032 its reverse (2300440401), we get a palindrome (3340880433).

The spelling of 1040440032 in words is "one billion, forty million, four hundred forty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 53 54 72 96 106 108 144 159 212 216 288 318 424 432 477 636 848 864 954 1272 1431 1696 1908 2544 2862 3816 5088 5724 7632 11448 15264 22721 22896 45442 45792 68163 90884 136326 181768 204489 272652 363536 408978 545304 613467 727072 817956 1090608 1204213 1226934 1635912 2181216 2408426 2453868 3271824 3612639 4816852 4907736 6543648 7225278 9633704 9815472 10837917 14450556 19267408 19630944 21675834 28901112 32513751 38534816 43351668 57802224 65027502 86703336 115604448 130055004 173406672 260110008 346813344 520220016 1040440032