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293368384 = 2621412
BaseRepresentation
bin10001011111000…
…111001001000000
3202110000122202201
4101133013021000
51100100242014
645035522544
710161406261
oct2137071100
9673018681
10293368384
11140665011
12822b9454
1348a1847a
142ad68968
151ab4de74
hex117c7240

293368384 has 21 divisors (see below), whose sum is σ = 582424921. Its totient is φ = 146615680.

The previous prime is 293368357. The next prime is 293368391. The reversal of 293368384 is 483863392.

The square root of 293368384 is 17128.

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., 279825984 + 13542400 = 16728^2 + 3680^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 135954 + ... + 138094.

Almost surely, 2293368384 is an apocalyptic number.

293368384 is the 17128-th square number.

It is an amenable number.

293368384 is a deficient number, since it is larger than the sum of its proper divisors (289056537).

293368384 is an frugal number, since it uses more digits than its factorization.

293368384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4294 (or 2143 counting only the distinct ones).

The product of its digits is 746496, while the sum is 46.

The cubic root of 293368384 is about 664.4634592812.

Multiplying 293368384 by its product of digits (746496), we get a square (218998325182464 = 147985922).

It can be divided in two parts, 2933 and 68384, that added together give a palindrome (71317).

The spelling of 293368384 in words is "two hundred ninety-three million, three hundred sixty-eight thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 32 64 2141 4282 8564 17128 34256 68512 137024 4583881 9167762 18335524 36671048 73342096 146684192 293368384