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143949312 = 29351389
BaseRepresentation
bin10001001010001…
…11111000000000
3101000212101100000
420211013320000
5243322334222
622141200000
73365356203
oct1045077000
9330771300
10143949312
117428a281
1240260000
1323a90b10
141519193a
15c9869ac
hex8947e00

143949312 has 240 divisors, whose sum is σ = 469188720. Its totient is φ = 43794432.

The previous prime is 143949287. The next prime is 143949313. The reversal of 143949312 is 213949341.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (143949313) 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, 1617364 + ... + 1617452.

It is an arithmetic number, because the mean of its divisors is an integer number (1954953).

Almost surely, 2143949312 is an apocalyptic number.

143949312 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 143949312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234594360).

143949312 is an abundant number, since it is smaller than the sum of its proper divisors (325239408).

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

143949312 is an frugal number, since it uses more digits than its factorization.

143949312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 107 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 143949312 is about 11997.8878141113. The cubic root of 143949312 is about 524.0867715596.

The spelling of 143949312 in words is "one hundred forty-three million, nine hundred forty-nine thousand, three hundred twelve".