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3400433380 = 225673725237
BaseRepresentation
bin1100101010101110…
…0111111011100100
322202222111220200001
43022223213323210
523431002332010
61321231031044
7150160130641
oct31253477344
98688456601
103400433380
111495501a23
127aa96b484
13422648176
14243880dc8
1514d7e0c3a
hexcaae7ee4

3400433380 has 24 divisors (see below), whose sum is σ = 7142253048. Its totient is φ = 1359917568.

The previous prime is 3400433341. The next prime is 3400433389. The reversal of 3400433380 is 833340043.

It can be written as a sum of positive squares in 4 ways, for example, as 702462016 + 2697971364 = 26504^2 + 51942^2 .

It is not an unprimeable number, because it can be changed into a prime (3400433389) by changing a digit.

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, 122122 + ... + 147358.

It is an arithmetic number, because the mean of its divisors is an integer number (297593877).

Almost surely, 23400433380 is an apocalyptic number.

It is an amenable number.

3400433380 is an abundant number, since it is smaller than the sum of its proper divisors (3741819668).

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

3400433380 is a wasteful number, since it uses less digits than its factorization.

3400433380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31983 (or 31981 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

The square root of 3400433380 is about 58313.2350328808. The cubic root of 3400433380 is about 1503.7584828204.

The spelling of 3400433380 in words is "three billion, four hundred million, four hundred thirty-three thousand, three hundred eighty".

Divisors: 1 2 4 5 10 20 6737 13474 25237 26948 33685 50474 67370 100948 126185 134740 252370 504740 170021669 340043338 680086676 850108345 1700216690 3400433380