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1145440332 = 2233179193307
BaseRepresentation
bin100010001000110…
…0000100001001100
32221211100101202000
41010101200201030
54321213042312
6305354432300
740246040121
oct10421404114
92854311660
101145440332
11538631303
1227b732690
1315340085a
14ac1aa748
156a85eadc
hex4446084c

1145440332 has 96 divisors (see below), whose sum is σ = 3011500800. Its totient is φ = 376482816.

The previous prime is 1145440277. The next prime is 1145440333. The reversal of 1145440332 is 2330445411.

It is a happy number.

1145440332 is a `hidden beast` number, since 114 + 544 + 0 + 3 + 3 + 2 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1145440296 and 1145440305.

It is not an unprimeable number, because it can be changed into a prime (1145440333) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3730923 + ... + 3731229.

It is an arithmetic number, because the mean of its divisors is an integer number (31369800).

Almost surely, 21145440332 is an apocalyptic number.

1145440332 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 1145440332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1505750400).

1145440332 is an abundant number, since it is smaller than the sum of its proper divisors (1866060468).

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

1145440332 is a wasteful number, since it uses less digits than its factorization.

1145440332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 1145440332 is about 33844.3545070666. The cubic root of 1145440332 is about 1046.3030476308.

Adding to 1145440332 its reverse (2330445411), we get a palindrome (3475885743).

The spelling of 1145440332 in words is "one billion, one hundred forty-five million, four hundred forty thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 179 193 307 358 386 537 579 614 716 772 921 1074 1158 1228 1611 1737 1842 2148 2316 2763 3222 3474 3684 4833 5211 5526 6444 6948 8289 9666 10422 11052 16578 19332 20844 33156 34547 54953 59251 69094 103641 109906 118502 138188 164859 177753 207282 219812 237004 310923 329718 355506 414564 494577 533259 621846 659436 711012 932769 989154 1066518 1243692 1483731 1599777 1865538 1978308 2133036 2967462 3199554 3731076 5934924 6399108 10605929 21211858 31817787 42423716 63635574 95453361 127271148 190906722 286360083 381813444 572720166 1145440332