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114343110 = 23357101599
BaseRepresentation
bin1101101000010…
…11110011000110
321222011020021000
412310023303012
5213232434420
615202434130
72555620560
oct664136306
9258136230
10114343110
11595a8742
1232362946
131a8c615b
1411286330
15a089690
hex6d0bcc6

114343110 has 128 divisors (see below), whose sum is σ = 352512000. Its totient is φ = 25833600.

The previous prime is 114343109. The next prime is 114343111. The reversal of 114343110 is 11343411.

Added to its reverse (11343411) it gives a square (125686521 = 112112).

It is an interprime number because it is at equal distance from previous prime (114343109) and next prime (114343111).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114343111) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 190591 + ... + 191189.

It is an arithmetic number, because the mean of its divisors is an integer number (2754000).

Almost surely, 2114343110 is an apocalyptic number.

114343110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 114343110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176256000).

114343110 is an abundant number, since it is smaller than the sum of its proper divisors (238168890).

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

114343110 is a wasteful number, since it uses less digits than its factorization.

114343110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 723 (or 717 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 114343110 is about 10693.1337782710. The cubic root of 114343110 is about 485.3667258594.

Adding to 114343110 its reverse (11343411), we get a palindrome (125686521).

It can be divided in two parts, 1143 and 43110, that added together give a triangular number (44253 = T297).

The spelling of 114343110 in words is "one hundred fourteen million, three hundred forty-three thousand, one hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 90 101 105 126 135 189 202 210 270 303 315 378 505 599 606 630 707 909 945 1010 1198 1414 1515 1797 1818 1890 2121 2727 2995 3030 3535 3594 4193 4242 4545 5391 5454 5990 6363 7070 8386 8985 9090 10605 10782 12579 12726 13635 16173 17970 19089 20965 21210 25158 26955 27270 31815 32346 37737 38178 41930 53910 60499 62895 63630 75474 80865 95445 113211 120998 125790 161730 181497 188685 190890 226422 302495 362994 377370 423493 544491 566055 604990 846986 907485 1088982 1132110 1270479 1633473 1814970 2117465 2540958 2722455 3266946 3811437 4234930 5444910 6352395 7622874 8167365 11434311 12704790 16334730 19057185 22868622 38114370 57171555 114343110