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114234400 = 2552720399
BaseRepresentation
bin1101100111100…
…01010000100000
321221221201010201
412303301100200
5213221000100
615200234544
72554655620
oct663612040
9257851121
10114234400
1159533aa5
123230ba54
131a888827
1411258880
15a06736a
hex6cf1420

114234400 has 72 divisors (see below), whose sum is σ = 318729600. Its totient is φ = 39164160.

The previous prime is 114234383. The next prime is 114234413. The reversal of 114234400 is 4432411.

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 11 ways as a sum of consecutive naturals, for example, 4600 + ... + 15799.

It is an arithmetic number, because the mean of its divisors is an integer number (4426800).

Almost surely, 2114234400 is an apocalyptic number.

114234400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114234400 is an abundant number, since it is smaller than the sum of its proper divisors (204495200).

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

114234400 is a wasteful number, since it uses less digits than its factorization.

114234400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20426 (or 20413 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 114234400 is about 10688.0494010834. The cubic root of 114234400 is about 485.2128587041.

Adding to 114234400 its reverse (4432411), we get a palindrome (118666811).

The spelling of 114234400 in words is "one hundred fourteen million, two hundred thirty-four thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 80 100 112 140 160 175 200 224 280 350 400 560 700 800 1120 1400 2800 5600 20399 40798 81596 101995 142793 163192 203990 285586 326384 407980 509975 571172 652768 713965 815960 1019950 1142344 1427930 1631920 2039900 2284688 2855860 3263840 3569825 4079800 4569376 5711720 7139650 8159600 11423440 14279300 16319200 22846880 28558600 57117200 114234400