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1341007272 = 2333112353463
BaseRepresentation
bin100111111101110…
…0010010110101000
310110110100020011000
41033323202112220
510221244213042
6341022235000
745142242123
oct11773422650
93413306130
101341007272
11628a66680
12315125a60
13184a95137
14ca1573ba
157cae074c
hex4fee25a8

1341007272 has 256 divisors, whose sum is σ = 4329676800. Its totient is φ = 380540160.

The previous prime is 1341007237. The next prime is 1341007303. The reversal of 1341007272 is 2727001431.

It is a happy number.

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

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 63 ways as a sum of consecutive naturals, for example, 2896113 + ... + 2896575.

It is an arithmetic number, because the mean of its divisors is an integer number (16912800).

Almost surely, 21341007272 is an apocalyptic number.

1341007272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1341007272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2164838400).

1341007272 is an abundant number, since it is smaller than the sum of its proper divisors (2988669528).

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

1341007272 is a wasteful number, since it uses less digits than its factorization.

1341007272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 1341007272 is about 36619.7661379753. The cubic root of 1341007272 is about 1102.7499437946.

The spelling of 1341007272 in words is "one billion, three hundred forty-one million, seven thousand, two hundred seventy-two".