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1341106336 = 25171926829
BaseRepresentation
bin100111111101111…
…1010100010100000
310110110112021001001
41033323322202200
510221310400321
6341024321344
745143134003
oct11773724240
93413467031
101341106336
11629024049
12315173254
13184acb25b
14ca18153a
157cb0ec91
hex4fefa8a0

1341106336 has 72 divisors (see below), whose sum is σ = 2950928820. Its totient is φ = 597805056.

The previous prime is 1341106331. The next prime is 1341106337. The reversal of 1341106336 is 6336011431.

It can be written as a sum of positive squares in 2 ways, for example, as 1303210000 + 37896336 = 36100^2 + 6156^2 .

It is not an unprimeable number, because it can be changed into a prime (1341106331) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 192970 + ... + 199798.

Almost surely, 21341106336 is an apocalyptic number.

1341106336 is a gapful number since it is divisible by the number (16) 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 1341106336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1475464410).

1341106336 is an abundant number, since it is smaller than the sum of its proper divisors (1609822484).

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

1341106336 is a wasteful number, since it uses less digits than its factorization.

1341106336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6894 (or 6867 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 28.

The square root of 1341106336 is about 36621.1187158448. The cubic root of 1341106336 is about 1102.7770975451. Note that the first 3 decimals are identical.

Adding to 1341106336 its reverse (6336011431), we get a palindrome (7677117767).

The spelling of 1341106336 in words is "one billion, three hundred forty-one million, one hundred six thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 17 19 32 34 38 68 76 136 152 272 304 323 361 544 608 646 722 1292 1444 2584 2888 5168 5776 6137 6829 10336 11552 12274 13658 24548 27316 49096 54632 98192 109264 116093 129751 196384 218528 232186 259502 464372 519004 928744 1038008 1857488 2076016 2205767 2465269 3714976 4152032 4411534 4930538 8823068 9861076 17646136 19722152 35292272 39444304 41909573 70584544 78888608 83819146 167638292 335276584 670553168 1341106336