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1244314104 = 2331119359691
BaseRepresentation
bin100101000101010…
…1011100111111000
310012201101201001120
41022022223213320
510022021022404
6323245545240
742556331625
oct11212534770
93181351046
101244314104
11589423670
122a8875220
1316aa3b847
14bb38734c
15743909d9
hex4a2ab9f8

1244314104 has 128 divisors (see below), whose sum is σ = 3587328000. Its totient is φ = 355708800.

The previous prime is 1244314103. The next prime is 1244314109. The reversal of 1244314104 is 4014134421.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1244314103) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1800399 + ... + 1801089.

It is an arithmetic number, because the mean of its divisors is an integer number (28026000).

Almost surely, 21244314104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1244314104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1793664000).

1244314104 is an abundant number, since it is smaller than the sum of its proper divisors (2343013896).

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

1244314104 is a wasteful number, since it uses less digits than its factorization.

1244314104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1089 (or 1085 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 1244314104 is about 35274.8366969997. The cubic root of 1244314104 is about 1075.5815433588.

Adding to 1244314104 its reverse (4014134421), we get a palindrome (5258448525).

The spelling of 1244314104 in words is "one billion, two hundred forty-four million, three hundred fourteen thousand, one hundred four".

Divisors: 1 2 3 4 6 8 11 12 19 22 24 33 38 44 57 66 76 88 114 132 152 209 228 264 359 418 456 627 691 718 836 1077 1254 1382 1436 1672 2073 2154 2508 2764 2872 3949 4146 4308 5016 5528 6821 7601 7898 8292 8616 11847 13129 13642 15202 15796 16584 20463 22803 23694 26258 27284 30404 31592 39387 40926 45606 47388 52516 54568 60808 75031 78774 81852 91212 94776 105032 144419 150062 157548 163704 182424 225093 248069 288838 300124 315096 433257 450186 496138 577676 600248 744207 866514 900372 992276 1155352 1488414 1733028 1800744 1984552 2728759 2976828 3466056 4713311 5457518 5953656 8186277 9426622 10915036 14139933 16372554 18853244 21830072 28279866 32745108 37706488 51846421 56559732 65490216 103692842 113119464 155539263 207385684 311078526 414771368 622157052 1244314104