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296378880 = 2935737149
BaseRepresentation
bin10001101010100…
…110001000000000
3202122200121101120
4101222212020000
51101333111010
645224232240
710226115240
oct2152461000
9678617346
10296378880
11142330926
128330b680
1349530825
142b50db20
151b045e70
hex11aa6200

296378880 has 320 divisors, whose sum is σ = 1119571200. Its totient is φ = 65470464.

The previous prime is 296378857. The next prime is 296378903. The reversal of 296378880 is 88873692.

It is an interprime number because it is at equal distance from previous prime (296378857) and next prime (296378903).

It is a tau number, because it is divible by the number of its divisors (320).

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, 1989046 + ... + 1989194.

It is an arithmetic number, because the mean of its divisors is an integer number (3498660).

Almost surely, 2296378880 is an apocalyptic number.

296378880 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 296378880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559785600).

296378880 is an abundant number, since it is smaller than the sum of its proper divisors (823192320).

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

296378880 is a wasteful number, since it uses less digits than its factorization.

296378880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 51.

The square root of 296378880 is about 17215.6579891679. The cubic root of 296378880 is about 666.7285986909.

The spelling of 296378880 in words is "two hundred ninety-six million, three hundred seventy-eight thousand, eight hundred eighty".