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1232306040 = 2335743109313
BaseRepresentation
bin100100101110011…
…0111111101111000
310011212210122002110
41021130313331320
510010432243130
6322140332320
742352266660
oct11134677570
93155718073
101232306040
11582671849
122a48440a0
131683c5c94
14b993d1a0
15732bcab0
hex49737f78

1232306040 has 256 divisors, whose sum is σ = 4376908800. Its totient is φ = 271724544.

The previous prime is 1232306039. The next prime is 1232306041. The reversal of 1232306040 is 406032321.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1232306039) and next prime (1232306041).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 1232305998 and 1232306016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1232306041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3936924 + ... + 3937236.

It is an arithmetic number, because the mean of its divisors is an integer number (17097300).

Almost surely, 21232306040 is an apocalyptic number.

1232306040 is a gapful number since it is divisible by the number (10) 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 1232306040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2188454400).

1232306040 is an abundant number, since it is smaller than the sum of its proper divisors (3144602760).

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

1232306040 is a wasteful number, since it uses less digits than its factorization.

1232306040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 1232306040 is about 35104.2168407159. The cubic root of 1232306040 is about 1072.1104414878.

Adding to 1232306040 its reverse (406032321), we get a palindrome (1638338361).

The spelling of 1232306040 in words is "one billion, two hundred thirty-two million, three hundred six thousand, forty".