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440113380 = 223577114759
BaseRepresentation
bin11010001110111…
…001100011100100
31010200011002001120
4122032321203210
51400132112010
6111401053540
713622621250
oct3216714344
91120132046
10440113380
11206483773
121034872b0
1370247925
1442647260
1528988e70
hex1a3b98e4

440113380 has 96 divisors (see below), whose sum is σ = 1428295680. Its totient is φ = 99173760.

The previous prime is 440113379. The next prime is 440113403. The reversal of 440113380 is 83311044.

It is a self number, because there is not a number n which added to its sum of digits gives 440113380.

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, 22441 + ... + 37199.

It is an arithmetic number, because the mean of its divisors is an integer number (14878080).

Almost surely, 2440113380 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 440113380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714147840).

440113380 is an abundant number, since it is smaller than the sum of its proper divisors (988182300).

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

440113380 is a wasteful number, since it uses less digits than its factorization.

440113380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14849 (or 14847 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 440113380 is about 20978.8793790326. The cubic root of 440113380 is about 760.6558166553.

The spelling of 440113380 in words is "four hundred forty million, one hundred thirteen thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 71 84 105 140 142 210 213 284 355 420 426 497 710 852 994 1065 1420 1491 1988 2130 2485 2982 4260 4970 5964 7455 9940 14759 14910 29518 29820 44277 59036 73795 88554 103313 147590 177108 206626 221385 295180 309939 413252 442770 516565 619878 885540 1033130 1047889 1239756 1549695 2066260 2095778 3099390 3143667 4191556 5239445 6198780 6287334 7335223 10478890 12574668 14670446 15718335 20957780 22005669 29340892 31436670 36676115 44011338 62873340 73352230 88022676 110028345 146704460 220056690 440113380