Base | Representation |
---|---|
bin | 10001010010111… |
… | …001011010001000 |
3 | 202012222222111000 |
4 | 101102321122020 |
5 | 1043240311113 |
6 | 44443135000 |
7 | 10122242130 |
oct | 2122713210 |
9 | 665888430 |
10 | 290166408 |
11 | 139878354 |
12 | 81214460 |
13 | 48166bcc |
14 | 2a773ac0 |
15 | 1a71a373 |
hex | 114b9688 |
290166408 has 128 divisors (see below), whose sum is σ = 942796800. Its totient is φ = 80958528.
The previous prime is 290166343. The next prime is 290166419. The reversal of 290166408 is 804661092.
290166408 is a `hidden beast` number, since 2 + 9 + 0 + 1 + 6 + 640 + 8 = 666.
It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a cake number, because a cake can be divided into 290166408 parts by 1203 planar cuts.
It is an unprimeable number.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62785 + ... + 67247.
It is an arithmetic number, because the mean of its divisors is an integer number (7365600).
Almost surely, 2290166408 is an apocalyptic number.
290166408 is a gapful number since it is divisible by the number (28) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 290166408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471398400).
290166408 is an abundant number, since it is smaller than the sum of its proper divisors (652630392).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
290166408 is a wasteful number, since it uses less digits than its factorization.
290166408 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 4528 (or 4518 counting only the distinct ones).
The product of its (nonzero) digits is 20736, while the sum is 36.
The square root of 290166408 is about 17034.2715723332. The cubic root of 290166408 is about 662.0371765920.
The spelling of 290166408 in words is "two hundred ninety million, one hundred sixty-six thousand, four hundred eight".
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