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114432345 = 355194957
BaseRepresentation
bin1101101001000…
…01100101011001
321222022202200000
412310201211121
5213243313340
615204403213
72556441666
oct664414531
9258282600
10114432345
1159659795
12323a6509
131a927961
14112aaa6d
15a0a5d30
hex6d21959

114432345 has 48 divisors (see below), whose sum is σ = 216565440. Its totient is φ = 57806784.

The previous prime is 114432341. The next prime is 114432359. The reversal of 114432345 is 543234411.

It is a happy number.

It is not a de Polignac number, because 114432345 - 22 = 114432341 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (114432341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20607 + ... + 25563.

It is an arithmetic number, because the mean of its divisors is an integer number (4511780).

Almost surely, 2114432345 is an apocalyptic number.

114432345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

114432345 is a deficient number, since it is larger than the sum of its proper divisors (102133095).

114432345 is an equidigital number, since it uses as much as digits as its factorization.

114432345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4996 (or 4984 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 114432345 is about 10697.3055018542. The cubic root of 114432345 is about 485.4929554085.

Adding to 114432345 its reverse (543234411), we get a palindrome (657666756).

It can be divided in two parts, 1144 and 32345, that added together give a square (33489 = 1832).

The spelling of 114432345 in words is "one hundred fourteen million, four hundred thirty-two thousand, three hundred forty-five".

Divisors: 1 3 5 9 15 19 27 45 57 81 95 135 171 243 285 405 513 855 1215 1539 2565 4617 4957 7695 14871 23085 24785 44613 74355 94183 133839 223065 282549 401517 470915 669195 847647 1204551 1412745 2007585 2542941 4238235 6022755 7628823 12714705 22886469 38144115 114432345