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33308142 = 2372277409
BaseRepresentation
bin111111100001…
…1110111101110
32022200020011220
41333003313232
532011330032
63145524210
7553054200
oct177036756
968606156
1033308142
111788a99a
12b1a3666
136b9297a
1445d0770
152dce12c
hex1fc3dee

33308142 has 48 divisors (see below), whose sum is σ = 77962320. Its totient is φ = 9459072.

The previous prime is 33308131. The next prime is 33308203. The reversal of 33308142 is 24180333.

It is a super-2 number, since 2×333081422 = 2218864646984328, which contains 22 as substring.

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, 81234 + ... + 81642.

It is an arithmetic number, because the mean of its divisors is an integer number (1624215).

Almost surely, 233308142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33308142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38981160).

33308142 is an abundant number, since it is smaller than the sum of its proper divisors (44654178).

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

33308142 is a wasteful number, since it uses less digits than its factorization.

33308142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 705 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 33308142 is about 5771.3206460913. The cubic root of 33308142 is about 321.7487012201.

Adding to 33308142 its reverse (24180333), we get a palindrome (57488475).

The spelling of 33308142 in words is "thirty-three million, three hundred eight thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 277 294 409 554 818 831 1227 1662 1939 2454 2863 3878 5726 5817 8589 11634 13573 17178 20041 27146 40082 40719 60123 81438 113293 120246 226586 339879 679758 793051 1586102 2379153 4758306 5551357 11102714 16654071 33308142