Search a number
-
+
1430982378 = 2327217195023
BaseRepresentation
bin101010101001011…
…0000111011101010
310200201122102210100
41111102300323222
510412312414003
6353554530230
750314102200
oct12522607352
93621572710
101430982378
11674830271
1233b296976
1319a608947
14d8099070
1585964ba3
hex554b0eea

1430982378 has 144 divisors (see below), whose sum is σ = 4020606720. Its totient is φ = 364476672.

The previous prime is 1430982367. The next prime is 1430982383. The reversal of 1430982378 is 8732890341.

It is a super-2 number, since 2×14309823782 = 4095421132293069768, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 282375 + ... + 287397.

It is an arithmetic number, because the mean of its divisors is an integer number (27920880).

Almost surely, 21430982378 is an apocalyptic number.

1430982378 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1430982378, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2010303360).

1430982378 is an abundant number, since it is smaller than the sum of its proper divisors (2589624342).

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

1430982378 is a wasteful number, since it uses less digits than its factorization.

1430982378 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5081 (or 5071 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 1430982378 is about 37828.3277187877. The cubic root of 1430982378 is about 1126.8811005822.

The spelling of 1430982378 in words is "one billion, four hundred thirty million, nine hundred eighty-two thousand, three hundred seventy-eight".

Divisors: 1 2 3 6 7 9 14 17 18 19 21 34 38 42 49 51 57 63 98 102 114 119 126 133 147 153 171 238 266 294 306 323 342 357 399 441 646 714 798 833 882 931 969 1071 1197 1666 1862 1938 2142 2261 2394 2499 2793 2907 4522 4998 5023 5586 5814 6783 7497 8379 10046 13566 14994 15069 15827 16758 20349 30138 31654 35161 40698 45207 47481 70322 85391 90414 94962 95437 105483 142443 170782 190874 210966 246127 256173 284886 286311 316449 492254 512346 572622 597737 632898 668059 738381 768519 858933 1195474 1336118 1476762 1537038 1622429 1717866 1793211 2004177 2215143 3244858 3586422 4008354 4184159 4430286 4676413 4867287 5379633 6012531 8368318 9352826 9734574 10759266 11357003 12025062 12552477 14029239 14601861 22714006 25104954 28058478 29203722 34071009 37657431 42087717 68142018 75314862 79499021 84175434 102213027 158998042 204426054 238497063 476994126 715491189 1430982378