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244330400 = 2552305413
BaseRepresentation
bin11101001000000…
…10111110100000
3122000202021022002
432210002332200
51000022033100
640124503132
76024526346
oct1644027640
9560667262
10244330400
11115a11056
12699aaaa8
133b808c02
1424641996
15166b42d5
hexe902fa0

244330400 has 36 divisors (see below), whose sum is σ = 596473542. Its totient is φ = 97731840.

The previous prime is 244330399. The next prime is 244330451. The reversal of 244330400 is 4033442.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 119159056 + 125171344 = 10916^2 + 11188^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 151907 + ... + 153506.

Almost surely, 2244330400 is an apocalyptic number.

244330400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

244330400 is an abundant number, since it is smaller than the sum of its proper divisors (352143142).

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

244330400 is a wasteful number, since it uses less digits than its factorization.

244330400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305433 (or 305420 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 244330400 is about 15631.0716203336. The cubic root of 244330400 is about 625.1618993915.

Adding to 244330400 its reverse (4033442), we get a palindrome (248363842).

The spelling of 244330400 in words is "two hundred forty-four million, three hundred thirty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 305413 610826 1221652 1527065 2443304 3054130 4886608 6108260 7635325 9773216 12216520 15270650 24433040 30541300 48866080 61082600 122165200 244330400