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33414132 = 22313032137
BaseRepresentation
bin111111101110…
…1101111110100
32022212121120110
41333131233310
532023223012
63152103020
7554005203
oct177355764
968777513
1033414132
1117952594
12b234a70
136bcbc9b
14461b23a
152e0073c
hex1fddbf4

33414132 has 24 divisors (see below), whose sum is σ = 78062656. Its totient is φ = 11124288.

The previous prime is 33414107. The next prime is 33414149. The reversal of 33414132 is 23141433.

It is a super-2 number, since 2×334141322 = 2233008434626848, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 33414099 and 33414108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14568 + ... + 16704.

Almost surely, 233414132 is an apocalyptic number.

It is an amenable number.

33414132 is an abundant number, since it is smaller than the sum of its proper divisors (44648524).

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

33414132 is a wasteful number, since it uses less digits than its factorization.

33414132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3447 (or 3445 counting only the distinct ones).

The product of its digits is 864, while the sum is 21.

The square root of 33414132 is about 5780.4958264841. The cubic root of 33414132 is about 322.0896192301.

Adding to 33414132 its reverse (23141433), we get a palindrome (56555565).

The spelling of 33414132 in words is "thirty-three million, four hundred fourteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 1303 2137 2606 3909 4274 5212 6411 7818 8548 12822 15636 25644 2784511 5569022 8353533 11138044 16707066 33414132