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33875340 = 22351513739
BaseRepresentation
bin1000000100111…
…0010110001100
32100202001020020
42001032112030
532133002330
63210022140
7560635632
oct201162614
970661206
1033875340
1118138054
12b417950
137030ba5
1446db352
152e92210
hex204e58c

33875340 has 48 divisors (see below), whose sum is σ = 95504640. Its totient is φ = 8971200.

The previous prime is 33875333. The next prime is 33875341. The reversal of 33875340 is 4357833.

It is a super-2 number, since 2×338753402 = 2295077320231200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33875341) 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, 7191 + ... + 10929.

It is an arithmetic number, because the mean of its divisors is an integer number (1989680).

Almost surely, 233875340 is an apocalyptic number.

33875340 is a gapful number since it is divisible by the number (30) 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 33875340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47752320).

33875340 is an abundant number, since it is smaller than the sum of its proper divisors (61629300).

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

33875340 is a wasteful number, since it uses less digits than its factorization.

33875340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3902 (or 3900 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

The square root of 33875340 is about 5820.2525718391. The cubic root of 33875340 is about 323.5647638699.

The spelling of 33875340 in words is "thirty-three million, eight hundred seventy-five thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 151 302 453 604 755 906 1510 1812 2265 3020 3739 4530 7478 9060 11217 14956 18695 22434 37390 44868 56085 74780 112170 224340 564589 1129178 1693767 2258356 2822945 3387534 5645890 6775068 8468835 11291780 16937670 33875340