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1314305244 = 223372248357
BaseRepresentation
bin100111001010110…
…1011010011011100
310101121002121212000
41032111223103130
510142430231434
6334230042300
744366260500
oct11625532334
93347077760
101314305244
11614988a8a
123081a9390
1317c3a6315
14c67a6300
157a5b8b99
hex4e56b4dc

1314305244 has 72 divisors (see below), whose sum is σ = 3963793680. Its totient is φ = 375514272.

The previous prime is 1314305159. The next prime is 1314305263. The reversal of 1314305244 is 4425034131.

It is a happy number.

1314305244 is a `hidden beast` number, since 1 + 314 + 305 + 2 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 118887 + ... + 129470.

It is an arithmetic number, because the mean of its divisors is an integer number (55052690).

Almost surely, 21314305244 is an apocalyptic number.

1314305244 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1314305244 is an abundant number, since it is smaller than the sum of its proper divisors (2649488436).

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

1314305244 is a wasteful number, since it uses less digits than its factorization.

1314305244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248384 (or 248369 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 1314305244 is about 36253.3480384916. The cubic root of 1314305244 is about 1095.3815296495.

Adding to 1314305244 its reverse (4425034131), we get a palindrome (5739339375).

The spelling of 1314305244 in words is "one billion, three hundred fourteen million, three hundred five thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 84 98 108 126 147 189 196 252 294 378 441 588 756 882 1323 1764 2646 5292 248357 496714 745071 993428 1490142 1738499 2235213 2980284 3476998 4470426 5215497 6705639 6953996 8940852 10430994 12169493 13411278 15646491 20861988 24338986 26822556 31292982 36508479 46939473 48677972 62585964 73016958 93878946 109525437 146033916 187757892 219050874 328576311 438101748 657152622 1314305244