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296104032 = 25337173283
BaseRepresentation
bin10001101001100…
…011000001100000
3202122011122101000
4101221203001200
51101300312112
645214312000
710223562030
oct2151430140
9678148330
10296104032
11142163384
12831b8600
13494656b3
142b47b8c0
151aede7dc
hex11a63060

296104032 has 192 divisors, whose sum is σ = 996226560. Its totient is φ = 83814912.

The previous prime is 296104027. The next prime is 296104049. The reversal of 296104032 is 230401692.

296104032 is a `hidden beast` number, since 2 + 9 + 610 + 40 + 3 + 2 = 666.

296104032 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 (27).

It is a junction number, because it is equal to n+sod(n) for n = 296103987 and 296104005.

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, 1046163 + ... + 1046445.

It is an arithmetic number, because the mean of its divisors is an integer number (5188680).

Almost surely, 2296104032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 296104032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498113280).

296104032 is an abundant number, since it is smaller than the sum of its proper divisors (700122528).

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

296104032 is a wasteful number, since it uses less digits than its factorization.

296104032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 296104032 is about 17207.6736370725. The cubic root of 296104032 is about 666.5224372435.

The spelling of 296104032 in words is "two hundred ninety-six million, one hundred four thousand, thirty-two".