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1348244640 = 25325936281
BaseRepresentation
bin101000001011100…
…1001010010100000
310110221221220221200
41100113021102200
510230122312030
6341441321200
745260614251
oct12027112240
93427856850
101348244640
1163205a176
12317636200
1318642a3c2
14cb0bcb28
157d56ed60
hex505c94a0

1348244640 has 72 divisors (see below), whose sum is σ = 4600889748. Its totient is φ = 359531520.

The previous prime is 1348244633. The next prime is 1348244669. The reversal of 1348244640 is 464428431.

1348244640 is a `hidden beast` number, since 1 + 3 + 4 + 8 + 2 + 4 + 4 + 640 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1347477264 + 767376 = 36708^2 + 876^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1348244595 and 1348244604.

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 11 ways as a sum of consecutive naturals, for example, 466701 + ... + 469580.

Almost surely, 21348244640 is an apocalyptic number.

1348244640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1348244640 is an abundant number, since it is smaller than the sum of its proper divisors (3252645108).

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

1348244640 is a wasteful number, since it uses less digits than its factorization.

1348244640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 936302 (or 936291 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 1348244640 is about 36718.4509477184. The cubic root of 1348244640 is about 1104.7302194874.

The spelling of 1348244640 in words is "one billion, three hundred forty-eight million, two hundred forty-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 936281 1872562 2808843 3745124 4681405 5617686 7490248 8426529 9362810 11235372 14044215 14980496 16853058 18725620 22470744 28088430 29960992 33706116 37451240 42132645 44941488 56176860 67412232 74902480 84265290 89882976 112353720 134824464 149804960 168530580 224707440 269648928 337061160 449414880 674122320 1348244640