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114324400 = 2452416971
BaseRepresentation
bin1101101000001…
…11001110110000
321222010021121001
412310013032300
5213231340100
615202211344
72555512201
oct664071660
9258107531
10114324400
1159595683
1232353b54
131a8ba798
141127d5a8
15a083d6a
hex6d073b0

114324400 has 60 divisors (see below), whose sum is σ = 281403864. Its totient is φ = 44608000.

The previous prime is 114324389. The next prime is 114324403. The reversal of 114324400 is 4423411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114324403) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 12915 + ... + 19885.

Almost surely, 2114324400 is an apocalyptic number.

114324400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114324400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140701932).

114324400 is an abundant number, since it is smaller than the sum of its proper divisors (167079464).

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

114324400 is a wasteful number, since it uses less digits than its factorization.

114324400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7030 (or 7019 counting only the distinct ones).

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

The square root of 114324400 is about 10692.2588820137. The cubic root of 114324400 is about 485.3402508440.

Adding to 114324400 its reverse (4423411), we get a palindrome (118747811).

The spelling of 114324400 in words is "one hundred fourteen million, three hundred twenty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 41 50 80 82 100 164 200 205 328 400 410 656 820 1025 1640 2050 3280 4100 6971 8200 13942 16400 27884 34855 55768 69710 111536 139420 174275 278840 285811 348550 557680 571622 697100 1143244 1394200 1429055 2286488 2788400 2858110 4572976 5716220 7145275 11432440 14290550 22864880 28581100 57162200 114324400