Search a number
-
+
3885381360 = 243257770909
BaseRepresentation
bin1110011110010110…
…0011011011110000
3101000210000211020100
43213211203123300
530424124200420
61441313112400
7165166124310
oct34745433360
911023024210
103885381360
111714218583
12905258700
1349bc60033
1428c039440
1517b184190
hexe79636f0

3885381360 has 120 divisors (see below), whose sum is σ = 14912483040. Its totient is φ = 888086016.

The previous prime is 3885381341. The next prime is 3885381361. The reversal of 3885381360 is 631835883.

3885381360 is a `hidden beast` number, since 3 + 88 + 538 + 1 + 36 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3885381361) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 380415 + ... + 390494.

It is an arithmetic number, because the mean of its divisors is an integer number (124270692).

Almost surely, 23885381360 is an apocalyptic number.

3885381360 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3885381360 is an abundant number, since it is smaller than the sum of its proper divisors (11027101680).

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

3885381360 is a wasteful number, since it uses less digits than its factorization.

3885381360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 770935 (or 770926 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 3885381360 is about 62332.8273063239. The cubic root of 3885381360 is about 1572.0917336674.

The spelling of 3885381360 in words is "three billion, eight hundred eighty-five million, three hundred eighty-one thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 35 36 40 42 45 48 56 60 63 70 72 80 84 90 105 112 120 126 140 144 168 180 210 240 252 280 315 336 360 420 504 560 630 720 840 1008 1260 1680 2520 5040 770909 1541818 2312727 3083636 3854545 4625454 5396363 6167272 6938181 7709090 9250908 10792726 11563635 12334544 13876362 15418180 16189089 18501816 21585452 23127270 26981815 27752724 30836360 32378178 34690905 37003632 43170904 46254540 48567267 53963630 55505448 61672720 64756356 69381810 80945445 86341808 92509080 97134534 107927260 111010896 129512712 138763620 161890890 185018160 194269068 215854520 242836335 259025424 277527240 323781780 388538136 431709040 485672670 555054480 647563560 777076272 971345340 1295127120 1942690680 3885381360