Search a number
-
+
1045344195 = 325721779353
BaseRepresentation
bin111110010011101…
…010111111000011
32200211222222122200
4332103222333003
54120102003240
6251421204243
734622164500
oct7623527703
92624888580
101045344195
11497084625
12252100683
1313875537c
149cb924a7
1561b8b930
hex3e4eafc3

1045344195 has 144 divisors (see below), whose sum is σ = 2266392960. Its totient is φ = 442810368.

The previous prime is 1045344193. The next prime is 1045344203. The reversal of 1045344195 is 5914435401.

It is a happy number.

1045344195 is a `hidden beast` number, since 10 + 453 + 4 + 4 + 195 = 666.

It is not a de Polignac number, because 1045344195 - 21 = 1045344193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1045344193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2961139 + ... + 2961491.

It is an arithmetic number, because the mean of its divisors is an integer number (15738840).

Almost surely, 21045344195 is an apocalyptic number.

1045344195 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1045344195 is an abundant number, since it is smaller than the sum of its proper divisors (1221048765).

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

1045344195 is a wasteful number, since it uses less digits than its factorization.

1045344195 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 1045344195 is about 32331.7830470267. The cubic root of 1045344195 is about 1014.8918632319.

Adding to 1045344195 its reverse (5914435401), we get a palindrome (6959779596).

The spelling of 1045344195 in words is "one billion, forty-five million, three hundred forty-four thousand, one hundred ninety-five".

Divisors: 1 3 5 7 9 15 17 21 35 45 49 51 63 79 85 105 119 147 153 237 245 255 315 353 357 395 441 553 595 711 735 765 833 1059 1071 1185 1343 1659 1765 1785 2205 2471 2499 2765 3177 3555 3871 4029 4165 4977 5295 5355 6001 6715 7413 7497 8295 9401 11613 12087 12355 12495 15885 17297 18003 19355 20145 22239 24885 27887 28203 30005 34839 37065 37485 42007 47005 51891 54009 58065 60435 65807 83661 84609 86485 90015 111195 126021 139435 141015 155673 174195 195209 197421 210035 250983 259455 270045 294049 329035 378063 418305 423045 474079 585627 592263 630105 778365 882147 976045 987105 1254915 1366463 1422237 1470245 1756881 1890315 2370395 2646441 2928135 2961315 3318553 4099389 4266711 4410735 6832315 7111185 8784405 9955659 12298167 13232205 16592765 20496945 21333555 23229871 29866977 49778295 61490835 69689613 116149355 149334885 209068839 348448065 1045344195