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1244406240 = 253457112943
BaseRepresentation
bin100101000101100…
…0010000111100000
310012201120101110000
41022023002013200
510022031444430
6323251540000
742560164350
oct11213020740
93181511400
101244406240
11589486910
122a88ba600
1316aa7176c
14bb3acb60
15743ace60
hex4a2c21e0

1244406240 has 960 divisors, whose sum is σ = 5795919360. Its totient is φ = 243855360.

The previous prime is 1244406223. The next prime is 1244406271. The reversal of 1244406240 is 426044421.

It is a happy number.

1244406240 is a `hidden beast` number, since 12 + 4 + 4 + 406 + 240 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 28939659 + ... + 28939701.

It is an arithmetic number, because the mean of its divisors is an integer number (6037416).

Almost surely, 21244406240 is an apocalyptic number.

1244406240 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 1244406240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2897959680).

1244406240 is an abundant number, since it is smaller than the sum of its proper divisors (4551513120).

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

1244406240 is a wasteful number, since it uses less digits than its factorization.

1244406240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 1244406240 is about 35276.1426462702. The cubic root of 1244406240 is about 1075.6080900683.

The spelling of 1244406240 in words is "one billion, two hundred forty-four million, four hundred six thousand, two hundred forty".