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144774 = 2337383
BaseRepresentation
bin100011010110000110
321100121000
4203112012
514113044
63034130
71142040
oct432606
9240530
10144774
1199853
126b946
1350b86
143aa90
152cd69
hex23586

144774 has 32 divisors (see below), whose sum is σ = 368640. Its totient is φ = 41256.

The previous prime is 144773. The next prime is 144779. The reversal of 144774 is 477441.

It is a super-2 number, since 2×1447742 = 41919022152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 11.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 144774.

It is not an unprimeable number, because it can be changed into a prime (144773) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 187 + ... + 569.

It is an arithmetic number, because the mean of its divisors is an integer number (11520).

2144774 is an apocalyptic number.

144774 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 144774, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184320).

144774 is an abundant number, since it is smaller than the sum of its proper divisors (223866).

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

144774 is a wasteful number, since it uses less digits than its factorization.

144774 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 395 counting only the distinct ones).

The product of its digits is 3136, while the sum is 27.

The square root of 144774 is about 380.4917870336. The cubic root of 144774 is about 52.5085700295.

It can be divided in two parts, 1447 and 74, that added together give a square (1521 = 392).

The spelling of 144774 in words is "one hundred forty-four thousand, seven hundred seventy-four", and thus it is an iban number.

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 383 766 1149 2298 2681 3447 5362 6894 8043 10341 16086 20682 24129 48258 72387 144774