Search a number
-
+
1445553340 = 2257112294099
BaseRepresentation
bin101011000101001…
…0110010010111100
310201202001201101121
41112022112102330
510430030201330
6355235120324
750552000140
oct12612262274
93652051347
101445553340
11681a82690
123441430a4
131a063ac0a
14d9dad220
1586d9217a
hex562964bc

1445553340 has 96 divisors (see below), whose sum is σ = 3802176000. Its totient is φ = 448485120.

The previous prime is 1445553331. The next prime is 1445553353. The reversal of 1445553340 is 433555441.

It is a junction number, because it is equal to n+sod(n) for n = 1445553296 and 1445553305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 350611 + ... + 354709.

It is an arithmetic number, because the mean of its divisors is an integer number (39606000).

Almost surely, 21445553340 is an apocalyptic number.

1445553340 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 1445553340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1901088000).

1445553340 is an abundant number, since it is smaller than the sum of its proper divisors (2356622660).

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

1445553340 is a wasteful number, since it uses less digits than its factorization.

1445553340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4355 (or 4353 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 34.

The square root of 1445553340 is about 38020.4331905885. The cubic root of 1445553340 is about 1130.6930095226.

The spelling of 1445553340 in words is "one billion, four hundred forty-five million, five hundred fifty-three thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 229 308 385 458 770 916 1145 1540 1603 2290 2519 3206 4099 4580 5038 6412 8015 8198 10076 12595 16030 16396 17633 20495 25190 28693 32060 35266 40990 45089 50380 57386 70532 81980 88165 90178 114772 143465 176330 180356 225445 286930 315623 352660 450890 573860 631246 901780 938671 1262492 1578115 1877342 3156230 3754684 4693355 6312460 6570697 9386710 10325381 13141394 18773420 20650762 26282788 32853485 41301524 51626905 65706970 72277667 103253810 131413940 144555334 206507620 289110668 361388335 722776670 1445553340