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1238823040 = 27571389239
BaseRepresentation
bin100100111010110…
…1111000010000000
310012100001201201211
41021311233002000
510014114314130
6322532135504
742461551660
oct11165570200
93170051654
101238823040
115863130a4
122a6a67594
131698683b0
14ba7581a0
1573b58a2a
hex49d6f080

1238823040 has 256 divisors, whose sum is σ = 3701376000. Its totient is φ = 386039808.

The previous prime is 1238823037. The next prime is 1238823083. The reversal of 1238823040 is 403288321.

It is a junction number, because it is equal to n+sod(n) for n = 1238822993 and 1238823011.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 5183241 + ... + 5183479.

It is an arithmetic number, because the mean of its divisors is an integer number (14458500).

Almost surely, 21238823040 is an apocalyptic number.

1238823040 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 1238823040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1850688000).

1238823040 is an abundant number, since it is smaller than the sum of its proper divisors (2462552960).

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

1238823040 is a wasteful number, since it uses less digits than its factorization.

1238823040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 1238823040 is about 35196.9180468972. The cubic root of 1238823040 is about 1073.9970570034.

The spelling of 1238823040 in words is "one billion, two hundred thirty-eight million, eight hundred twenty-three thousand, forty".