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1332041328 = 243310130529
BaseRepresentation
bin100111101100101…
…0101011001110000
310102211110201012000
41033121111121300
510212000310303
6340102134000
745003110262
oct11731253160
93384421160
101332041328
116239a2402
12312121300
13182c76147
14c8ca1b32
157be1dda3
hex4f655670

1332041328 has 80 divisors (see below), whose sum is σ = 3861434400. Its totient is φ = 439603200.

The previous prime is 1332041327. The next prime is 1332041351. The reversal of 1332041328 is 8231402331.

1332041328 is a `hidden beast` number, since 1 + 332 + 0 + 4 + 1 + 328 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1332041327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28368 + ... + 58896.

It is an arithmetic number, because the mean of its divisors is an integer number (48267930).

Almost surely, 21332041328 is an apocalyptic number.

1332041328 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 1332041328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1930717200).

1332041328 is an abundant number, since it is smaller than the sum of its proper divisors (2529393072).

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

1332041328 is a wasteful number, since it uses less digits than its factorization.

1332041328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30647 (or 30635 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 1332041328 is about 36497.1413675099. The cubic root of 1332041328 is about 1100.2867924385.

Adding to 1332041328 its reverse (8231402331), we get a palindrome (9563443659).

The spelling of 1332041328 in words is "one billion, three hundred thirty-two million, forty-one thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 101 108 144 202 216 303 404 432 606 808 909 1212 1616 1818 2424 2727 3636 4848 5454 7272 10908 14544 21816 30529 43632 61058 91587 122116 183174 244232 274761 366348 488464 549522 732696 824283 1099044 1465392 1648566 2198088 3083429 3297132 4396176 6166858 6594264 9250287 12333716 13188528 18500574 24667432 27750861 37001148 49334864 55501722 74002296 83252583 111003444 148004592 166505166 222006888 333010332 444013776 666020664 1332041328