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1338266248 = 23111729109283
BaseRepresentation
bin100111111000100…
…0101001010001000
310110021011222011121
41033301011022020
510220044004443
6340443405024
745110034604
oct11761051210
93407158147
101338266248
11627464270
12314223774
13184345627
14c9a42504
157c74d4ed
hex4fc45288

1338266248 has 128 divisors (see below), whose sum is σ = 3036528000. Its totient is φ = 545771520.

The previous prime is 1338266233. The next prime is 1338266257. The reversal of 1338266248 is 8426628331.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4728715 + ... + 4728997.

It is an arithmetic number, because the mean of its divisors is an integer number (23722875).

Almost surely, 21338266248 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 1338266248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1518264000).

1338266248 is an abundant number, since it is smaller than the sum of its proper divisors (1698261752).

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

1338266248 is a wasteful number, since it uses less digits than its factorization.

1338266248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 451 counting only the distinct ones).

The product of its digits is 331776, while the sum is 43.

The square root of 1338266248 is about 36582.3215228339. The cubic root of 1338266248 is about 1101.9980895945.

The spelling of 1338266248 in words is "one billion, three hundred thirty-eight million, two hundred sixty-six thousand, two hundred forty-eight".

Divisors: 1 2 4 8 11 17 22 29 34 44 58 68 88 109 116 136 187 218 232 283 319 374 436 493 566 638 748 872 986 1132 1199 1276 1496 1853 1972 2264 2398 2552 3113 3161 3706 3944 4796 4811 5423 6226 6322 7412 8207 9592 9622 10846 12452 12644 14824 16414 19244 20383 21692 24904 25288 30847 32828 34771 38488 40766 43384 52921 53737 61694 65656 69542 81532 90277 105842 107474 123388 139084 139519 163064 180554 211684 214948 246776 278168 279038 339317 361108 423368 429896 524399 558076 591107 678634 722216 894563 1048798 1116152 1182214 1357268 1534709 1789126 2097596 2364428 2714536 3069418 3578252 4195192 4728856 5768389 6138836 7156504 9840193 11536778 12277672 15207571 19680386 23073556 30415142 39360772 46147112 60830284 78721544 121660568 167283281 334566562 669133124 1338266248