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1306203444 = 2232713537523
BaseRepresentation
bin100110111011011…
…0001010100110100
310101000212000021100
41031312301110310
510133342002234
6333340250100
744240355210
oct11566612464
93330760240
101306203444
11610354a87
12305540930
1317a7ca760
14c5697940
1579a18399
hex4ddb1534

1306203444 has 144 divisors (see below), whose sum is σ = 4140968832. Its totient is φ = 337948416.

The previous prime is 1306203377. The next prime is 1306203467. The reversal of 1306203444 is 4443026031.

1306203444 is a `hidden beast` number, since 1 + 3 + 0 + 620 + 34 + 4 + 4 = 666.

It is a super-2 number, since 2×13062034442 = 3412334874234922272, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 169867 + ... + 177389.

It is an arithmetic number, because the mean of its divisors is an integer number (28756728).

Almost surely, 21306203444 is an apocalyptic number.

1306203444 is a gapful number since it is divisible by the number (14) 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 1306203444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2070484416).

1306203444 is an abundant number, since it is smaller than the sum of its proper divisors (2834765388).

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

1306203444 is a wasteful number, since it uses less digits than its factorization.

1306203444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7606 (or 7601 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 1306203444 is about 36141.4366620919. The cubic root of 1306203444 is about 1093.1261276562.

Adding to 1306203444 its reverse (4443026031), we get a palindrome (5749229475).

The spelling of 1306203444 in words is "one billion, three hundred six million, two hundred three thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 53 63 78 84 91 106 117 126 156 159 182 212 234 252 273 318 364 371 468 477 546 636 689 742 819 954 1092 1113 1378 1484 1638 1908 2067 2226 2756 3276 3339 4134 4452 4823 6201 6678 7523 8268 9646 12402 13356 14469 15046 19292 22569 24804 28938 30092 43407 45138 52661 57876 67707 86814 90276 97799 105322 135414 157983 173628 195598 210644 270828 293397 315966 391196 398719 473949 586794 631932 684593 797438 880191 947898 1173588 1196157 1369186 1594876 1760382 1895796 2053779 2392314 2738372 2791033 3520764 3588471 4107558 4784628 5183347 5582066 6161337 7176942 8215116 8373099 10366694 11164132 12322674 14353884 15550041 16746198 20733388 24645348 25119297 31100082 33492396 36283429 46650123 50238594 62200164 72566858 93300246 100477188 108850287 145133716 186600492 217700574 326550861 435401148 653101722 1306203444