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114343164 = 2235139049
BaseRepresentation
bin1101101000010…
…11110011111100
321222011020100000
412310023303330
5213232440124
615202434300
72555620665
oct664136374
9258136300
10114343164
11595a8791
1232362990
131a8c61a0
141128636c
15a0896c9
hex6d0bcfc

114343164 has 72 divisors (see below), whose sum is σ = 322831600. Its totient is φ = 35178624.

The previous prime is 114343147. The next prime is 114343169. The reversal of 114343164 is 461343411.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114343169) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8112 + ... + 17160.

Almost surely, 2114343164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114343164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161415800).

114343164 is an abundant number, since it is smaller than the sum of its proper divisors (208488436).

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

114343164 is a wasteful number, since it uses less digits than its factorization.

114343164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9081 (or 9067 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 114343164 is about 10693.1363032555. The cubic root of 114343164 is about 485.3668022663.

Adding to 114343164 its reverse (461343411), we get a palindrome (575686575).

The spelling of 114343164 in words is "one hundred fourteen million, three hundred forty-three thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 234 243 324 351 468 486 702 972 1053 1404 2106 3159 4212 6318 9049 12636 18098 27147 36196 54294 81441 108588 117637 162882 235274 244323 325764 352911 470548 488646 705822 732969 977292 1058733 1411644 1465938 2117466 2198907 2931876 3176199 4234932 4397814 6352398 8795628 9528597 12704796 19057194 28585791 38114388 57171582 114343164