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3428914000 = 24531714457
BaseRepresentation
bin1100110001100001…
…0001001101010000
322211222002212201211
43030120101031100
524010300222000
61324125305504
7150654200551
oct31430211520
98758085654
103428914000
1114aa594926
127b8405294
1342850a6c5
14247576328
151510697ba
hexcc611350

3428914000 has 40 divisors (see below), whose sum is σ = 8291118888. Its totient is φ = 1371564800.

The previous prime is 3428913997. The next prime is 3428914051. The reversal of 3428914000 is 4198243.

It can be written as a sum of positive squares in 4 ways, for example, as 534904384 + 2894009616 = 23128^2 + 53796^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 855229 + ... + 859228.

Almost surely, 23428914000 is an apocalyptic number.

It is an amenable number.

3428914000 is an abundant number, since it is smaller than the sum of its proper divisors (4862204888).

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

3428914000 is a wasteful number, since it uses less digits than its factorization.

3428914000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1714480 (or 1714464 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 3428914000 is about 58556.9295643137. The cubic root of 3428914000 is about 1507.9451018625.

The spelling of 3428914000 in words is "three billion, four hundred twenty-eight million, nine hundred fourteen thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 1714457 3428914 6857828 8572285 13715656 17144570 27431312 34289140 42861425 68578280 85722850 137156560 171445700 214307125 342891400 428614250 685782800 857228500 1714457000 3428914000