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1244386728 = 23321310912197
BaseRepresentation
bin100101000101011…
…1101010110101000
310012201112101200100
41022022331112220
510022030333403
6323251305400
742560053434
oct11212752650
93181471610
101244386728
11589473192
122a88ab260
1316aa65910
14bb3a59c4
15743a72a3
hex4a2bd5a8

1244386728 has 96 divisors (see below), whose sum is σ = 3663059400. Its totient is φ = 379344384.

The previous prime is 1244386691. The next prime is 1244386729. The reversal of 1244386728 is 8276834421.

It is a happy number.

1244386728 is a `hidden beast` number, since 1 + 244 + 386 + 7 + 28 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1074397284 + 169989444 = 32778^2 + 13038^2 .

It is not an unprimeable number, because it can be changed into a prime (1244386729) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 95926 + ... + 108122.

Almost surely, 21244386728 is an apocalyptic number.

1244386728 is a gapful number since it is divisible by the number (18) 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 1244386728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1831529700).

1244386728 is an abundant number, since it is smaller than the sum of its proper divisors (2418672672).

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

1244386728 is a wasteful number, since it uses less digits than its factorization.

1244386728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12331 (or 12324 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The square root of 1244386728 is about 35275.8660843359. The cubic root of 1244386728 is about 1075.6024682775.

The spelling of 1244386728 in words is "one billion, two hundred forty-four million, three hundred eighty-six thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 109 117 156 218 234 312 327 436 468 654 872 936 981 1308 1417 1962 2616 2834 3924 4251 5668 7848 8502 11336 12197 12753 17004 24394 25506 34008 36591 48788 51012 73182 97576 102024 109773 146364 158561 219546 292728 317122 439092 475683 634244 878184 951366 1268488 1329473 1427049 1902732 2658946 2854098 3805464 3988419 5317892 5708196 7976838 10635784 11416392 11965257 15953676 17283149 23930514 31907352 34566298 47861028 51849447 69132596 95722056 103698894 138265192 155548341 207397788 311096682 414795576 622193364 1244386728