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290234000 = 2453720731
BaseRepresentation
bin10001010011001…
…001111010010000
3202020010102012102
4101103021322100
51043244442000
644444415532
710122643160
oct2123117220
9666112172
10290234000
11139914111
12812475a8
134818b8c4
142a7905a0
151a7303d5
hex114c9e90

290234000 has 80 divisors (see below), whose sum is σ = 802079616. Its totient is φ = 99504000.

The previous prime is 290233967. The next prime is 290234003. The reversal of 290234000 is 432092.

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 (20).

It is not an unprimeable number, because it can be changed into a prime (290234003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3635 + ... + 24365.

Almost surely, 2290234000 is an apocalyptic number.

290234000 is a gapful number since it is divisible by the number (20) 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 290234000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401039808).

290234000 is an abundant number, since it is smaller than the sum of its proper divisors (511845616).

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

290234000 is a wasteful number, since it uses less digits than its factorization.

290234000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20761 (or 20745 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 290234000 is about 17036.2554571126. The cubic root of 290234000 is about 662.0885780653.

Adding to 290234000 its reverse (432092), we get a palindrome (290666092).

The spelling of 290234000 in words is "two hundred ninety million, two hundred thirty-four thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 125 140 175 200 250 280 350 400 500 560 700 875 1000 1400 1750 2000 2800 3500 7000 14000 20731 41462 82924 103655 145117 165848 207310 290234 331696 414620 518275 580468 725585 829240 1036550 1160936 1451170 1658480 2073100 2321872 2591375 2902340 3627925 4146200 5182750 5804680 7255850 8292400 10365500 11609360 14511700 18139625 20731000 29023400 36279250 41462000 58046800 72558500 145117000 290234000