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3400114016 = 25138173351
BaseRepresentation
bin1100101010101001…
…1001111101100000
322202221220200120202
43022222121331200
523430412122031
61321220124332
7150154330565
oct31252317540
98687820522
103400114016
111495303a92
127aa8366a8
134225659b0
142437da86c
1514d77b2cb
hexcaa99f60

3400114016 has 24 divisors (see below), whose sum is σ = 7208896464. Its totient is φ = 1569283200.

The previous prime is 3400113991. The next prime is 3400114027. The reversal of 3400114016 is 6104110043.

3400114016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4086260 + ... + 4087091.

It is an arithmetic number, because the mean of its divisors is an integer number (300370686).

Almost surely, 23400114016 is an apocalyptic number.

It is an amenable number.

3400114016 is an abundant number, since it is smaller than the sum of its proper divisors (3808782448).

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

3400114016 is a wasteful number, since it uses less digits than its factorization.

3400114016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8173374 (or 8173366 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 3400114016 is about 58310.4966193909. The cubic root of 3400114016 is about 1503.7114043743.

Adding to 3400114016 its reverse (6104110043), we get a palindrome (9504224059).

The spelling of 3400114016 in words is "three billion, four hundred million, one hundred fourteen thousand, sixteen".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 8173351 16346702 32693404 65386808 106253563 130773616 212507126 261547232 425014252 850028504 1700057008 3400114016