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143290368 = 2123213223
BaseRepresentation
bin10001000101001…
…11000000000000
3100222121220102200
420202213000000
5243140242433
622115113200
73356643114
oct1042470000
9328556380
10143290368
117397a1a1
123bba2800
13238bcc00
141505d744
15c8a6613
hex88a7000

143290368 has 234 divisors, whose sum is σ = 467673336. Its totient is φ = 42172416.

The previous prime is 143290361. The next prime is 143290373. The reversal of 143290368 is 863092341.

143290368 is a `hidden beast` number, since 1 + 4 + 3 + 290 + 368 = 666.

It is a tau number, because it is divible by the number of its divisors (234).

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 (143290361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6230005 + ... + 6230027.

It is an arithmetic number, because the mean of its divisors is an integer number (1998604).

Almost surely, 2143290368 is an apocalyptic number.

143290368 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 143290368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233836668).

143290368 is an abundant number, since it is smaller than the sum of its proper divisors (324382968).

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

143290368 is a wasteful number, since it uses less digits than its factorization.

143290368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 143290368 is about 11970.3954821885. The cubic root of 143290368 is about 523.2858597133.

The spelling of 143290368 in words is "one hundred forty-three million, two hundred ninety thousand, three hundred sixty-eight".