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1244784240 = 243357219619
BaseRepresentation
bin100101000110001…
…1110011001110000
310012202021120222000
41022030132121300
510022131043430
6323304014000
742563330400
oct11214363160
93182246860
101244784240
11589714907
122a8a61300
1316ab7482b
14bb46a800
1574434e60
hex4a31e670

1244784240 has 480 divisors, whose sum is σ = 5258592000. Its totient is φ = 269111808.

The previous prime is 1244784169. The next prime is 1244784257. The reversal of 1244784240 is 424874421.

It is a super-3 number, since 3×12447842403 (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1244784195 and 1244784204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2010651 + ... + 2011269.

It is an arithmetic number, because the mean of its divisors is an integer number (10955400).

Almost surely, 21244784240 is an apocalyptic number.

1244784240 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 1244784240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2629296000).

1244784240 is an abundant number, since it is smaller than the sum of its proper divisors (4013807760).

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

1244784240 is a wasteful number, since it uses less digits than its factorization.

1244784240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 674 (or 655 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 36.

The square root of 1244784240 is about 35281.4999681136. The cubic root of 1244784240 is about 1075.7169877054.

The spelling of 1244784240 in words is "one billion, two hundred forty-four million, seven hundred eighty-four thousand, two hundred forty".