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296340480 = 21032559109
BaseRepresentation
bin10001101010011…
…100110000000000
3202122121122201100
4101222130300000
51101330343410
645223334400
710225565262
oct2152346000
9678548640
10296340480
11142304a97
12832b1400
13495191c7
142b4ddb32
151b0398c0
hex11a9cc00

296340480 has 264 divisors, whose sum is σ = 1053795600. Its totient is φ = 76972032.

The previous prime is 296340433. The next prime is 296340503. The reversal of 296340480 is 84043692.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2718666 + ... + 2718774.

It is an arithmetic number, because the mean of its divisors is an integer number (3991650).

Almost surely, 2296340480 is an apocalyptic number.

296340480 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 296340480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526897800).

296340480 is an abundant number, since it is smaller than the sum of its proper divisors (757455120).

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

296340480 is a wasteful number, since it uses less digits than its factorization.

296340480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 296340480 is about 17214.5426892497. The cubic root of 296340480 is about 666.6998027974.

The spelling of 296340480 in words is "two hundred ninety-six million, three hundred forty thousand, four hundred eighty".