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1041346728 = 233219773417
BaseRepresentation
bin111110000100011…
…011000010101000
32200120110220011100
4332010123002220
54113041043403
6251155401400
734543205202
oct7604330250
92616426140
101041346728
114948a4234
122508b3260
131379859c6
149c431772
156164c2a3
hex3e11b0a8

1041346728 has 48 divisors (see below), whose sum is σ = 2834668980. Its totient is φ = 345348864.

The previous prime is 1041346723. The next prime is 1041346751. The reversal of 1041346728 is 8276431401.

It can be written as a sum of positive squares in 2 ways, for example, as 813276324 + 228070404 = 28518^2 + 15102^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1041346692 and 1041346701.

It is not an unprimeable number, because it can be changed into a prime (1041346723) 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, 22525 + ... + 50892.

Almost surely, 21041346728 is an apocalyptic number.

1041346728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1041346728 is an abundant number, since it is smaller than the sum of its proper divisors (1793322252).

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

1041346728 is a wasteful number, since it uses less digits than its factorization.

1041346728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73626 (or 73619 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 1041346728 is about 32269.9043692416. The cubic root of 1041346728 is about 1013.5965389499.

The spelling of 1041346728 in words is "one billion, forty-one million, three hundred forty-six thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 197 394 591 788 1182 1576 1773 2364 3546 4728 7092 14184 73417 146834 220251 293668 440502 587336 660753 881004 1321506 1762008 2643012 5286024 14463149 28926298 43389447 57852596 86778894 115705192 130168341 173557788 260336682 347115576 520673364 1041346728