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145332 = 223211367
BaseRepresentation
bin100011011110110100
321101100200
4203132310
514122312
63040500
71143465
oct433664
9241320
10145332
119a210
1270130
13511c5
143ad6c
152d0dc
hex237b4

145332 has 36 divisors (see below), whose sum is σ = 401856. Its totient is φ = 43920.

The previous prime is 145307. The next prime is 145349. The reversal of 145332 is 233541.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1453322 = 42242780448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

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 145332.

It is an unprimeable number.

145332 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 213 + ... + 579.

2145332 is an apocalyptic number.

145332 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 145332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200928).

145332 is an abundant number, since it is smaller than the sum of its proper divisors (256524).

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

145332 is a wasteful number, since it uses less digits than its factorization.

145332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 383 counting only the distinct ones).

The product of its digits is 360, while the sum is 18.

The square root of 145332 is about 381.2243433990. The cubic root of 145332 is about 52.5759445103.

Adding to 145332 its reverse (233541), we get a palindrome (378873).

Subtracting 145332 from its reverse (233541), we obtain a square (88209 = 2972).

It can be divided in two parts, 14533 and 2, that added together give a triangular number (14535 = T170).

The spelling of 145332 in words is "one hundred forty-five thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 367 396 734 1101 1468 2202 3303 4037 4404 6606 8074 12111 13212 16148 24222 36333 48444 72666 145332