Search a number
-
+
2380982373 = 3272113171223
BaseRepresentation
bin1000110111101010…
…1110100001100101
320010221020102210100
42031322232201211
514334012413443
61032132414313
7113001005400
oct21572564145
96127212710
102380982373
111012003330
12565477399
132bc38a713
1418830cd37
15de06b3d3
hex8deae865

2380982373 has 144 divisors (see below), whose sum is σ = 4589125632. Its totient is φ = 1174824000.

The previous prime is 2380982371. The next prime is 2380982377. The reversal of 2380982373 is 3732890832.

It is a happy number.

It is not a de Polignac number, because 2380982373 - 21 = 2380982371 is a prime.

It is a super-2 number, since 2×23809823732 = 11338154121073422258, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2380982371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10676940 + ... + 10677162.

It is an arithmetic number, because the mean of its divisors is an integer number (31868928).

Almost surely, 22380982373 is an apocalyptic number.

It is an amenable number.

2380982373 is a deficient number, since it is larger than the sum of its proper divisors (2208143259).

2380982373 is a wasteful number, since it uses less digits than its factorization.

2380982373 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 2380982373 is about 48795.3109734942. The cubic root of 2380982373 is about 1335.3201218594.

It can be divided in two parts, 238098 and 2373, that added together give a triangular number (240471 = T693).

The spelling of 2380982373 in words is "two billion, three hundred eighty million, nine hundred eighty-two thousand, three hundred seventy-three".

Divisors: 1 3 7 9 11 21 31 33 49 63 71 77 93 99 147 213 217 223 231 279 341 441 497 539 639 651 669 693 781 1023 1491 1519 1561 1617 1953 2007 2201 2343 2387 2453 3069 3479 4473 4557 4683 4851 5467 6603 6913 7029 7161 7359 10437 10927 13671 14049 15407 15833 16401 16709 17171 19809 20739 21483 22077 24211 31311 32781 38269 46221 47499 48391 49203 50127 51513 62217 72633 76043 98343 107849 110831 114807 120197 138663 142497 145173 150381 154539 169477 174163 217899 228129 323547 332493 338737 344421 360591 435519 490823 508431 522489 532301 684387 775817 970641 997479 1016211 1081773 1186339 1219141 1472469 1525293 1567467 1596903 2327451 3048633 3435761 3559017 3657423 3726107 4417407 4790709 5399053 6982353 8533987 10307283 10677051 10972269 11178321 16197159 24050327 25601961 30921849 33534963 37793371 48591477 72150981 76805883 113380113 216452943 264553597 340140339 793660791 2380982373