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114434440 = 23528110181
BaseRepresentation
bin1101101001000…
…10000110001000
321222022212112121
412310202012020
5213243400230
615204421024
72556451051
oct664420610
9258285477
10114434440
115966031a
12323a7774
131a9288b3
14112ab728
15a0a677a
hex6d22188

114434440 has 32 divisors (see below), whose sum is σ = 258419160. Its totient is φ = 45606400.

The previous prime is 114434417. The next prime is 114434443. The reversal of 114434440 is 44434411.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 102779044 + 11655396 = 10138^2 + 3414^2 .

It is a super-2 number, since 2×1144344402 = 26190482116227200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (114434443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6150 + ... + 16330.

Almost surely, 2114434440 is an apocalyptic number.

114434440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114434440 is an abundant number, since it is smaller than the sum of its proper divisors (143984720).

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

114434440 is a wasteful number, since it uses less digits than its factorization.

114434440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10473 (or 10469 counting only the distinct ones).

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

The square root of 114434440 is about 10697.4034232612. The cubic root of 114434440 is about 485.4959181534.

Adding to 114434440 its reverse (44434411), we get a palindrome (158868851).

The spelling of 114434440 in words is "one hundred fourteen million, four hundred thirty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 281 562 1124 1405 2248 2810 5620 10181 11240 20362 40724 50905 81448 101810 203620 407240 2860861 5721722 11443444 14304305 22886888 28608610 57217220 114434440