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143406312 = 23371575437
BaseRepresentation
bin10001000110000…
…11010011101000
3100222211210110220
420203003103220
5243203000222
622121410040
73360635130
oct1043032350
9328753426
10143406312
1173a49315
1240039920
132393090a
141508dac0
15c8cab5c
hex88c34e8

143406312 has 64 divisors (see below), whose sum is σ = 412417920. Its totient is φ = 40704768.

The previous prime is 143406301. The next prime is 143406317. The reversal of 143406312 is 213604341.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (143406317) 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 15 ways as a sum of consecutive naturals, for example, 23658 + ... + 29094.

It is an arithmetic number, because the mean of its divisors is an integer number (6444030).

Almost surely, 2143406312 is an apocalyptic number.

143406312 is a gapful number since it is divisible by the number (12) 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 143406312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206208960).

143406312 is an abundant number, since it is smaller than the sum of its proper divisors (269011608).

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

143406312 is a wasteful number, since it uses less digits than its factorization.

143406312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5610 (or 5606 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 143406312 is about 11975.2374506730. The cubic root of 143406312 is about 523.4269613092.

The spelling of 143406312 in words is "one hundred forty-three million, four hundred six thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 157 168 314 471 628 942 1099 1256 1884 2198 3297 3768 4396 5437 6594 8792 10874 13188 16311 21748 26376 32622 38059 43496 65244 76118 114177 130488 152236 228354 304472 456708 853609 913416 1707218 2560827 3414436 5121654 5975263 6828872 10243308 11950526 17925789 20486616 23901052 35851578 47802104 71703156 143406312