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1244004440 = 235715129423
BaseRepresentation
bin100101000100110…
…0000000001011000
310012200210222021112
41022021200001120
510021431120230
6323235155452
742553602050
oct11211400130
93180728245
101244004440
11589231a48
122a8745b88
1316a960903
14bb306560
157432dd95
hex4a260058

1244004440 has 64 divisors (see below), whose sum is σ = 3220162560. Its totient is φ = 423676800.

The previous prime is 1244004431. The next prime is 1244004469. The reversal of 1244004440 is 444004421.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27569 + ... + 56991.

It is an arithmetic number, because the mean of its divisors is an integer number (50315040).

Almost surely, 21244004440 is an apocalyptic number.

1244004440 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 1244004440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1610081280).

1244004440 is an abundant number, since it is smaller than the sum of its proper divisors (1976158120).

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

1244004440 is a wasteful number, since it uses less digits than its factorization.

1244004440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29592 (or 29588 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 23.

The square root of 1244004440 is about 35270.4471193661. The cubic root of 1244004440 is about 1075.4923117317.

Adding to 1244004440 its reverse (444004421), we get a palindrome (1688008861).

The spelling of 1244004440 in words is "one billion, two hundred forty-four million, four thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 151 280 302 604 755 1057 1208 1510 2114 3020 4228 5285 6040 8456 10570 21140 29423 42280 58846 117692 147115 205961 235384 294230 411922 588460 823844 1029805 1176920 1647688 2059610 4119220 4442873 8238440 8885746 17771492 22214365 31100111 35542984 44428730 62200222 88857460 124400444 155500555 177714920 248800888 311001110 622002220 1244004440