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114344440 = 23572227257
BaseRepresentation
bin1101101000011…
…00000111111000
321222011022002021
412310030013320
5213233010230
615202444224
72555624500
oct664140770
9258138067
10114344440
11595a9741
1232363674
131a8c6942
1411286a00
15a089c7a
hex6d0c1f8

114344440 has 96 divisors (see below), whose sum is σ = 301767120. Its totient is φ = 38879232.

The previous prime is 114344371. The next prime is 114344453. The reversal of 114344440 is 44443411.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 444792 + ... + 445048.

Almost surely, 2114344440 is an apocalyptic number.

114344440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114344440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150883560).

114344440 is an abundant number, since it is smaller than the sum of its proper divisors (187422680).

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

114344440 is a wasteful number, since it uses less digits than its factorization.

114344440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

The square root of 114344440 is about 10693.1959675300. The cubic root of 114344440 is about 485.3686077255.

Adding to 114344440 its reverse (44443411), we get a palindrome (158787851).

The spelling of 114344440 in words is "one hundred fourteen million, three hundred forty-four thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 227 245 257 280 392 454 490 514 908 980 1028 1135 1285 1589 1799 1816 1960 2056 2270 2570 3178 3598 4540 5140 6356 7196 7945 8995 9080 10280 11123 12593 12712 14392 15890 17990 22246 25186 31780 35980 44492 50372 55615 58339 62965 63560 71960 88984 100744 111230 116678 125930 222460 233356 251860 291695 408373 444920 466712 503720 583390 816746 1166780 1633492 2041865 2333560 2858611 3266984 4083730 5717222 8167460 11434444 14293055 16334920 22868888 28586110 57172220 114344440