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296803984 = 24592732
BaseRepresentation
bin10001101100001…
…101111010010000
3202200111012112011
4101230031322100
51101440211414
645241312304
710232535511
oct2154157220
9680435464
10296803984
111425a1254
1283495694
134964c179
142b5c0a08
151b0cbdc4
hex11b0de90

296803984 has 45 divisors (see below), whose sum is σ = 593092713. Its totient is φ = 143888256.

The previous prime is 296803963. The next prime is 296803993. The reversal of 296803984 is 489308692.

The square root of 296803984 is 17228.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 168480400 + 128323584 = 12980^2 + 11328^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4065772 + ... + 4065844.

Almost surely, 2296803984 is an apocalyptic number.

296803984 is the 17228-th square number.

It is an amenable number.

296803984 is a deficient number, since it is larger than the sum of its proper divisors (296288729).

296803984 is an frugal number, since it uses more digits than its factorization.

296803984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 49.

The cubic root of 296803984 is about 667.0472151774.

Multiplying 296803984 by its sum of digits (49), we get a square (14543395216 = 1205962).

Multiplying 296803984 by its product of nonzero digits (746496), we get a square (221562986840064 = 148849922).

The spelling of 296803984 in words is "two hundred ninety-six million, eight hundred three thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 59 73 118 146 236 292 472 584 944 1168 3481 4307 5329 6962 8614 10658 13924 17228 21316 27848 34456 42632 55696 68912 85264 254113 314411 508226 628822 1016452 1257644 2032904 2515288 4065808 5030576 18550249 37100498 74200996 148401992 296803984