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293034240 = 2833561139
BaseRepresentation
bin10001011101110…
…101100100000000
3202102101200102000
4101131311210000
51100004043430
645024424000
710155515142
oct2135654400
9672350360
10293034240
11140456a64
1282178000
134892c355
142acbcc92
151aad4e60
hex11775900

293034240 has 288 divisors, whose sum is σ = 1064515200. Its totient is φ = 76308480.

The previous prime is 293034233. The next prime is 293034319. The reversal of 293034240 is 42430392.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 2108091 + ... + 2108229.

Almost surely, 2293034240 is an apocalyptic number.

293034240 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 293034240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532257600).

293034240 is an abundant number, since it is smaller than the sum of its proper divisors (771480960).

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

293034240 is a wasteful number, since it uses less digits than its factorization.

293034240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 293034240 is about 17118.2429004849. The cubic root of 293034240 is about 664.2110907700.

The spelling of 293034240 in words is "two hundred ninety-three million, thirty-four thousand, two hundred forty".