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114384440 = 2358593329
BaseRepresentation
bin1101101000101…
…01111000111000
321222020022221202
412310111320320
5213240300230
615203353332
72556152222
oct664257070
9258208852
10114384440
11596267a5
1232382848
131a90bc01
1411297412
15a096a45
hex6d15e38

114384440 has 32 divisors (see below), whose sum is σ = 257742000. Its totient is φ = 45686784.

The previous prime is 114384379. The next prime is 114384443. The reversal of 114384440 is 44483411.

It is a happy number.

It is a super-2 number, since 2×1143844402 = 26167600228227200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114384443) 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, 32696 + ... + 36024.

Almost surely, 2114384440 is an apocalyptic number.

114384440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114384440 is an abundant number, since it is smaller than the sum of its proper divisors (143357560).

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

114384440 is a wasteful number, since it uses less digits than its factorization.

114384440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4199 (or 4195 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 29.

The square root of 114384440 is about 10695.0661522031. The cubic root of 114384440 is about 485.4251983822.

The spelling of 114384440 in words is "one hundred fourteen million, three hundred eighty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 859 1718 3329 3436 4295 6658 6872 8590 13316 16645 17180 26632 33290 34360 66580 133160 2859611 5719222 11438444 14298055 22876888 28596110 57192220 114384440