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1344150400 = 2752420047
BaseRepresentation
bin101000000011110…
…0001101110000000
310110200020220201011
41100013201232000
510223100303100
6341213450304
745211042555
oct12007415600
93420226634
101344150400
1162a8130aa
123161a0994
13185625988
14ca734a2c
157d011bba
hex501e1b80

1344150400 has 48 divisors (see below), whose sum is σ = 3320479440. Its totient is φ = 537658880.

The previous prime is 1344150361. The next prime is 1344150413. The reversal of 1344150400 is 40514431.

It is a congruent number.

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, 206824 + ... + 213223.

It is an arithmetic number, because the mean of its divisors is an integer number (69176655).

Almost surely, 21344150400 is an apocalyptic number.

1344150400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1344150400 is an abundant number, since it is smaller than the sum of its proper divisors (1976329040).

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

1344150400 is an equidigital number, since it uses as much as digits as its factorization.

1344150400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420071 (or 420054 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 1344150400 is about 36662.6567504320. The cubic root of 1344150400 is about 1103.6108339174.

Adding to 1344150400 its reverse (40514431), we get a palindrome (1384664831).

The spelling of 1344150400 in words is "one billion, three hundred forty-four million, one hundred fifty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 320 400 640 800 1600 3200 420047 840094 1680188 2100235 3360376 4200470 6720752 8400940 10501175 13441504 16801880 21002350 26883008 33603760 42004700 53766016 67207520 84009400 134415040 168018800 268830080 336037600 672075200 1344150400