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293680296 = 233371367223
BaseRepresentation
bin10001100000010…
…011010010101000
3202110121111122000
4101200103102220
51100140232141
645050331000
710164145530
oct2140232250
9673544560
10293680296
11140858398
1282429a60
1348ac7430
142b00a4c0
151abb15b6
hex118134a8

293680296 has 256 divisors, whose sum is σ = 1023590400. Its totient is φ = 75955968.

The previous prime is 293680273. The next prime is 293680297. The reversal of 293680296 is 692086392.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (293680297) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1316841 + ... + 1317063.

It is an arithmetic number, because the mean of its divisors is an integer number (3998400).

Almost surely, 2293680296 is an apocalyptic number.

293680296 is a gapful number since it is divisible by the number (26) 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 293680296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511795200).

293680296 is an abundant number, since it is smaller than the sum of its proper divisors (729910104).

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

293680296 is a wasteful number, since it uses less digits than its factorization.

293680296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 293680296 is about 17137.1029056839. The cubic root of 293680296 is about 664.6988637871.

The spelling of 293680296 in words is "two hundred ninety-three million, six hundred eighty thousand, two hundred ninety-six".