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3400642404 = 223294462289
BaseRepresentation
bin1100101010110001…
…1010111101100100
322202222220112101200
43022230122331210
523431031024104
61321235322500
7150161661225
oct31254327544
98688815350
103400642404
111495634a75
127aaa50430
134226bc353
142438d724c
1514d832b39
hexcab1af64

3400642404 has 18 divisors (see below), whose sum is σ = 8596068390. Its totient is φ = 1133547456.

The previous prime is 3400642403. The next prime is 3400642409. The reversal of 3400642404 is 4042460043.

It can be written as a sum of positive squares in only one way, i.e., 3254474304 + 146168100 = 57048^2 + 12090^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is not an unprimeable number, because it can be changed into a prime (3400642403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 47231109 + ... + 47231180.

It is an arithmetic number, because the mean of its divisors is an integer number (477559355).

Almost surely, 23400642404 is an apocalyptic number.

It is an amenable number.

3400642404 is an abundant number, since it is smaller than the sum of its proper divisors (5195425986).

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

3400642404 is a wasteful number, since it uses less digits than its factorization.

3400642404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94462299 (or 94462294 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 3400642404 is about 58315.0272571316. The cubic root of 3400642404 is about 1503.7892941061.

The spelling of 3400642404 in words is "three billion, four hundred million, six hundred forty-two thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 94462289 188924578 283386867 377849156 566773734 850160601 1133547468 1700321202 3400642404