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114544368 = 2435171733
BaseRepresentation
bin1101101001111…
…00111011110000
321222112110100000
412310330323300
5213310404433
615211030000
72560416411
oct664747360
9258473300
10114544368
1159725974
123243b300
131a966943
14112d9808
15a0c9113
hex6d3cef0

114544368 has 120 divisors (see below), whose sum is σ = 352196208. Its totient is φ = 35914752.

The previous prime is 114544363. The next prime is 114544379. The reversal of 114544368 is 863445411.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114544361) 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, 65230 + ... + 66962.

Almost surely, 2114544368 is an apocalyptic number.

114544368 is a gapful number since it is divisible by the number (18) 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 114544368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176098104).

114544368 is an abundant number, since it is smaller than the sum of its proper divisors (237651840).

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

114544368 is a wasteful number, since it uses less digits than its factorization.

114544368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1773 (or 1755 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 114544368 is about 10702.5402592095. The cubic root of 114544368 is about 485.6513274139.

Adding to 114544368 its reverse (863445411), we get a palindrome (977989779).

The spelling of 114544368 in words is "one hundred fourteen million, five hundred forty-four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 81 102 108 136 144 153 162 204 216 243 272 306 324 408 432 459 486 612 648 816 918 972 1224 1296 1377 1733 1836 1944 2448 2754 3466 3672 3888 4131 5199 5508 6932 7344 8262 10398 11016 13864 15597 16524 20796 22032 27728 29461 31194 33048 41592 46791 58922 62388 66096 83184 88383 93582 117844 124776 140373 176766 187164 235688 249552 265149 280746 353532 374328 421119 471376 530298 561492 707064 748656 795447 842238 1060596 1122984 1414128 1590894 1684476 2121192 2245968 2386341 3181788 3368952 4242384 4772682 6363576 6737904 7159023 9545364 12727152 14318046 19090728 28636092 38181456 57272184 114544368