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114101344 = 2572322147
BaseRepresentation
bin1101100110100…
…00110001100000
321221200221121201
412303100301200
5213202220334
615153330544
72553562660
oct663206140
9257627551
10114101344
1159453035
1232266a54
131a8400b6
14112221a0
15a03cc14
hex6cd0c60

114101344 has 48 divisors (see below), whose sum is σ = 267902208. Its totient is φ = 46772352.

The previous prime is 114101291. The next prime is 114101353. The reversal of 114101344 is 443101411.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5922 + ... + 16225.

It is an arithmetic number, because the mean of its divisors is an integer number (5581296).

Almost surely, 2114101344 is an apocalyptic number.

114101344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

114101344 is an abundant number, since it is smaller than the sum of its proper divisors (153800864).

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

114101344 is a wasteful number, since it uses less digits than its factorization.

114101344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22187 (or 22179 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 114101344 is about 10681.8230653761. The cubic root of 114101344 is about 485.0243995235.

Adding to 114101344 its reverse (443101411), we get a palindrome (557202755).

The spelling of 114101344 in words is "one hundred fourteen million, one hundred one thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 92 112 161 184 224 322 368 644 736 1288 2576 5152 22147 44294 88588 155029 177176 310058 354352 509381 620116 708704 1018762 1240232 2037524 2480464 3565667 4075048 4960928 7131334 8150096 14262668 16300192 28525336 57050672 114101344