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114443320 = 23517316189
BaseRepresentation
bin1101101001001…
…00010000111000
321222100022201111
412310210100320
5213244141240
615204530104
72556515665
oct664442070
9258308644
10114443320
1159666a62
12323b0934
131a92c954
14112b0a6c
15a0a91ea
hex6d24438

114443320 has 128 divisors (see below), whose sum is σ = 289267200. Its totient is φ = 40550400.

The previous prime is 114443317. The next prime is 114443323. The reversal of 114443320 is 23344411.

It is an interprime number because it is at equal distance from previous prime (114443317) and next prime (114443323).

It is a junction number, because it is equal to n+sod(n) for n = 114443291 and 114443300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114443323) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1285836 + ... + 1285924.

It is an arithmetic number, because the mean of its divisors is an integer number (2259900).

Almost surely, 2114443320 is an apocalyptic number.

114443320 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 114443320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144633600).

114443320 is an abundant number, since it is smaller than the sum of its proper divisors (174823880).

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

114443320 is a wasteful number, since it uses less digits than its factorization.

114443320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 114443320 is about 10697.8184692020. The cubic root of 114443320 is about 485.5084758305.

Adding to 114443320 its reverse (23344411), we get a palindrome (137787731).

The spelling of 114443320 in words is "one hundred fourteen million, four hundred forty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 31 34 40 61 62 68 85 89 122 124 136 155 170 178 244 248 305 310 340 356 445 488 527 610 620 680 712 890 1037 1054 1220 1240 1513 1780 1891 2074 2108 2440 2635 2759 3026 3560 3782 4148 4216 5185 5270 5429 5518 6052 7564 7565 8296 9455 10370 10540 10858 11036 12104 13795 15128 15130 18910 20740 21080 21716 22072 27145 27590 30260 32147 37820 41480 43432 46903 54290 55180 60520 64294 75640 92293 93806 108580 110360 128588 160735 168299 184586 187612 217160 234515 257176 321470 336598 369172 375224 461465 469030 642940 673196 738344 841495 922930 938060 1285880 1346392 1682990 1845860 1876120 2861083 3365980 3691720 5722166 6731960 11444332 14305415 22888664 28610830 57221660 114443320