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143935344 = 24327220399
BaseRepresentation
bin10001001010001…
…00011101110000
3101000211200011200
420211010131300
5243321412334
622141011200
73365300400
oct1045043560
9330750150
10143935344
117427a833
1240253b00
1323a87657
141518a800
15c982799
hex8944770

143935344 has 90 divisors (see below), whose sum is σ = 468608400. Its totient is φ = 41122368.

The previous prime is 143935343. The next prime is 143935361. The reversal of 143935344 is 443539341.

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

It is a junction number, because it is equal to n+sod(n) for n = 143935299 and 143935308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (143935343) 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 17 ways as a sum of consecutive naturals, for example, 3144 + ... + 17255.

It is an arithmetic number, because the mean of its divisors is an integer number (5206760).

Almost surely, 2143935344 is an apocalyptic number.

143935344 is a gapful number since it is divisible by the number (14) 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 143935344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234304200).

143935344 is an abundant number, since it is smaller than the sum of its proper divisors (324673056).

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

143935344 is a wasteful number, since it uses less digits than its factorization.

143935344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20427 (or 20411 counting only the distinct ones).

The product of its digits is 77760, while the sum is 36.

The square root of 143935344 is about 11997.3056975306. The cubic root of 143935344 is about 524.0698195721.

The spelling of 143935344 in words is "one hundred forty-three million, nine hundred thirty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 112 126 144 147 168 196 252 294 336 392 441 504 588 784 882 1008 1176 1764 2352 3528 7056 20399 40798 61197 81596 122394 142793 163192 183591 244788 285586 326384 367182 428379 489576 571172 734364 856758 979152 999551 1142344 1285137 1468728 1713516 1999102 2284688 2570274 2937456 2998653 3427032 3998204 5140548 5997306 6854064 7996408 8995959 10281096 11994612 15992816 17991918 20562192 23989224 35983836 47978448 71967672 143935344