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290997000 = 233253731149
BaseRepresentation
bin10001010110000…
…100001100001000
3202021120011211200
4101112010030020
51043443401000
644513024200
710132301520
oct2126041410
9667504750
10290997000
1113a295398
1281555060
1348397c98
142a90c680
151a831500
hex11584308

290997000 has 384 divisors, whose sum is σ = 1168128000. Its totient is φ = 63936000.

The previous prime is 290996987. The next prime is 290997037. The reversal of 290997000 is 799092.

290997000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1952926 + ... + 1953074.

It is an arithmetic number, because the mean of its divisors is an integer number (3042000).

Almost surely, 2290997000 is an apocalyptic number.

290997000 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 290997000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584064000).

290997000 is an abundant number, since it is smaller than the sum of its proper divisors (877131000).

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

290997000 is a wasteful number, since it uses less digits than its factorization.

290997000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 10206, while the sum is 36.

The square root of 290997000 is about 17058.6341774481. The cubic root of 290997000 is about 662.6682615215.

The spelling of 290997000 in words is "two hundred ninety million, nine hundred ninety-seven thousand".