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33103242 = 234233877
BaseRepresentation
bin111111001000…
…1110110001010
32022021211010000
41332101312022
531433300432
63141303430
7551241624
oct176216612
968254100
1033103242
111775aa57
12b104b76
136b20623
144579c14
152d8d57c
hex1f91d8a

33103242 has 40 divisors (see below), whose sum is σ = 74579076. Its totient is φ = 10974528.

The previous prime is 33103223. The next prime is 33103243. The reversal of 33103242 is 24230133.

It can be written as a sum of positive squares in 2 ways, for example, as 33074001 + 29241 = 5751^2 + 171^2 .

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

It is not an unprimeable number, because it can be changed into a prime (33103243) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 37308 + ... + 38184.

Almost surely, 233103242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33103242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37289538).

33103242 is an abundant number, since it is smaller than the sum of its proper divisors (41475834).

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

33103242 is a wasteful number, since it uses less digits than its factorization.

33103242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1124 (or 1115 counting only the distinct ones).

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

The square root of 33103242 is about 5753.5416918625. The cubic root of 33103242 is about 321.0875820063.

Adding to 33103242 its reverse (24230133), we get a palindrome (57333375).

The spelling of 33103242 in words is "thirty-three million, one hundred three thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 233 466 699 877 1398 1754 2097 2631 4194 5262 6291 7893 12582 15786 18873 23679 37746 47358 71037 142074 204341 408682 613023 1226046 1839069 3678138 5517207 11034414 16551621 33103242