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350086000 = 24531115913
BaseRepresentation
bin10100110111011…
…110001101110000
3220101202012201011
4110313132031300
51204110223000
654423320304
711450452615
oct2467361560
9811665634
10350086000
1116a683880
12992b0094
13576b63a4
14346d050c
1520b042ba
hex14dde370

350086000 has 80 divisors (see below), whose sum is σ = 923521248. Its totient is φ = 127296000.

The previous prime is 350085991. The next prime is 350086031. The reversal of 350086000 is 680053.

350086000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14044 + ... + 29956.

Almost surely, 2350086000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 350086000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461760624).

350086000 is an abundant number, since it is smaller than the sum of its proper divisors (573435248).

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

350086000 is a wasteful number, since it uses less digits than its factorization.

350086000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15947 (or 15931 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 350086000 is about 18710.5852393772. The cubic root of 350086000 is about 704.7875892120.

The spelling of 350086000 in words is "three hundred fifty million, eighty-six thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 880 1000 1100 1375 2000 2200 2750 4400 5500 11000 15913 22000 31826 63652 79565 127304 159130 175043 254608 318260 350086 397825 636520 700172 795650 875215 1273040 1400344 1591300 1750430 1989125 2800688 3182600 3500860 3978250 4376075 6365200 7001720 7956500 8752150 14003440 15913000 17504300 21880375 31826000 35008600 43760750 70017200 87521500 175043000 350086000