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114436938 = 23711673697
BaseRepresentation
bin1101101001000…
…10101101001010
321222022222222010
412310202231022
5213243440223
615204440350
72556461250
oct664425512
9258288863
10114436938
1159662190
12323a90b6
131a929a85
14112ac5d0
15a0a7393
hex6d22b4a

114436938 has 64 divisors (see below), whose sum is σ = 289686528. Its totient is φ = 29272320.

The previous prime is 114436901. The next prime is 114436991. The reversal of 114436938 is 839634411.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 114436896 and 114436905.

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 31 ways as a sum of consecutive naturals, for example, 29106 + ... + 32802.

It is an arithmetic number, because the mean of its divisors is an integer number (4526352).

Almost surely, 2114436938 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114436938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144843264).

114436938 is an abundant number, since it is smaller than the sum of its proper divisors (175249590).

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

114436938 is a wasteful number, since it uses less digits than its factorization.

114436938 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3787.

The product of its digits is 62208, while the sum is 39.

The square root of 114436938 is about 10697.5201799296. The cubic root of 114436938 is about 485.4994507728.

It can be divided in two parts, 11443 and 6938, that added together give a palindrome (18381).

The spelling of 114436938 in words is "one hundred fourteen million, four hundred thirty-six thousand, nine hundred thirty-eight".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 67 77 134 154 201 231 402 462 469 737 938 1407 1474 2211 2814 3697 4422 5159 7394 10318 11091 15477 22182 25879 30954 40667 51758 77637 81334 122001 155274 244002 247699 284669 495398 569338 743097 854007 1486194 1708014 1733893 2724689 3467786 5201679 5449378 8174067 10403358 16348134 19072823 38145646 57218469 114436938