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249384345 = 35741531093
BaseRepresentation
bin11101101110101…
…00110110011001
3122101021001000020
432313110312121
51002320244340
640425101053
76115506030
oct1667246631
9571231006
10249384345
11118853171
126b627789
133c888402
1425199717
1516d619d0
hexedd4d99

249384345 has 64 divisors (see below), whose sum is σ = 476388864. Its totient is φ = 109025280.

The previous prime is 249384323. The next prime is 249384347. The reversal of 249384345 is 543483942.

It is not a de Polignac number, because 249384345 - 28 = 249384089 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 249384297 and 249384306.

It is not an unprimeable number, because it can be changed into a prime (249384347) 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 63 ways as a sum of consecutive naturals, for example, 227619 + ... + 228711.

It is an arithmetic number, because the mean of its divisors is an integer number (7443576).

Almost surely, 2249384345 is an apocalyptic number.

It is an amenable number.

249384345 is a deficient number, since it is larger than the sum of its proper divisors (227004519).

249384345 is a wasteful number, since it uses less digits than its factorization.

249384345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1202.

The product of its digits is 414720, while the sum is 42.

The square root of 249384345 is about 15791.9075795168. The cubic root of 249384345 is about 629.4429820815.

The spelling of 249384345 in words is "two hundred forty-nine million, three hundred eighty-four thousand, three hundred forty-five".

Divisors: 1 3 5 7 15 21 35 41 53 105 123 159 205 265 287 371 615 795 861 1093 1113 1435 1855 2173 3279 4305 5465 5565 6519 7651 10865 15211 16395 22953 32595 38255 44813 45633 57929 76055 114765 134439 173787 224065 228165 289645 313691 405503 672195 868935 941073 1216509 1568455 2027515 2375089 4705365 6082545 7125267 11875445 16625623 35626335 49876869 83128115 249384345