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296138304 = 26327112607
BaseRepresentation
bin10001101001101…
…011011001000000
3202122020101101100
4101221223121000
51101302411204
645215134400
710224063660
oct2151533100
9678211340
10296138304
11142187100
1283214400
1349478187
142b48a1a0
151aee9a39
hex11a6b640

296138304 has 252 divisors, whose sum is σ = 1068051712. Its totient is φ = 76792320.

The previous prime is 296138299. The next prime is 296138321. The reversal of 296138304 is 403831692.

296138304 is a `hidden beast` number, since 2 + 9 + 613 + 8 + 30 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

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 35 ways as a sum of consecutive naturals, for example, 487569 + ... + 488175.

Almost surely, 2296138304 is an apocalyptic number.

296138304 is a gapful number since it is divisible by the number (24) 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 296138304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534025856).

296138304 is an abundant number, since it is smaller than the sum of its proper divisors (771913408).

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

296138304 is a wasteful number, since it uses less digits than its factorization.

296138304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 296138304 is about 17208.6694430453. The cubic root of 296138304 is about 666.5481513769.

Adding to 296138304 its reverse (403831692), we get a palindrome (699969996).

The spelling of 296138304 in words is "two hundred ninety-six million, one hundred thirty-eight thousand, three hundred four".