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33144030 = 23251133259
BaseRepresentation
bin111111001101…
…1110011011110
32022100220001200
41332123303132
531441102110
63142220330
7551501553
oct176336336
968326050
1033144030
1117788667
12b1246a6
136b3606a
14458aa2a
152d9a6c0
hex1f9bcde

33144030 has 48 divisors (see below), whose sum is σ = 86963760. Its totient is φ = 8757504.

The previous prime is 33144019. The next prime is 33144073. The reversal of 33144030 is 3044133.

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

It is a junction number, because it is equal to n+sod(n) for n = 33143994 and 33144012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8541 + ... + 11799.

It is an arithmetic number, because the mean of its divisors is an integer number (1811745).

Almost surely, 233144030 is an apocalyptic number.

33144030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 33144030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43481880).

33144030 is an abundant number, since it is smaller than the sum of its proper divisors (53819730).

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

33144030 is a wasteful number, since it uses less digits than its factorization.

33144030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3385 (or 3382 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 33144030 is about 5757.0851999949. The cubic root of 33144030 is about 321.2194033854.

Adding to 33144030 its reverse (3044133), we get a palindrome (36188163).

The spelling of 33144030 in words is "thirty-three million, one hundred forty-four thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 113 226 339 565 678 1017 1130 1695 2034 3259 3390 5085 6518 9777 10170 16295 19554 29331 32590 48885 58662 97770 146655 293310 368267 736534 1104801 1841335 2209602 3314403 3682670 5524005 6628806 11048010 16572015 33144030