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274144400 = 2452685361
BaseRepresentation
bin10000010101110…
…001110010010000
3201002211222102022
4100111301302100
51030140110100
643111511012
76536121545
oct2025616220
9632758368
10274144400
11130824822
1277988468
1344a4732a
14285a2bcc
1519102e85
hex10571c90

274144400 has 30 divisors (see below), whose sum is σ = 658632882. Its totient is φ = 109657600.

The previous prime is 274144399. The next prime is 274144417. The reversal of 274144400 is 4441472.

It can be written as a sum of positive squares in 3 ways, for example, as 43264 + 274101136 = 208^2 + 16556^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 274144400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 342281 + ... + 343080.

Almost surely, 2274144400 is an apocalyptic number.

274144400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

274144400 is an abundant number, since it is smaller than the sum of its proper divisors (384488482).

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

274144400 is a wasteful number, since it uses less digits than its factorization.

274144400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685379 (or 685368 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 26.

The square root of 274144400 is about 16557.3065442420. The cubic root of 274144400 is about 649.6206070008.

Adding to 274144400 its reverse (4441472), we get a palindrome (278585872).

The spelling of 274144400 in words is "two hundred seventy-four million, one hundred forty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 685361 1370722 2741444 3426805 5482888 6853610 10965776 13707220 17134025 27414440 34268050 54828880 68536100 137072200 274144400