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1341334000 = 24531739451
BaseRepresentation
bin100111111110011…
…0010000111110000
310110110221211100001
41033330302013300
510221340142000
6341033235344
745145102516
oct11774620760
93413854301
101341334000
1162916a0a6
12315262b54
13184b7aa76
14ca2004b6
157cb5746a
hex4ff321f0

1341334000 has 80 divisors (see below), whose sum is σ = 3434217696. Its totient is φ = 504960000.

The previous prime is 1341333991. The next prime is 1341334039. The reversal of 1341334000 is 4331431.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 14275 + ... + 53725.

Almost surely, 21341334000 is an apocalyptic number.

1341334000 is a gapful number since it is divisible by the number (10) 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 1341334000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1717108848).

1341334000 is an abundant number, since it is smaller than the sum of its proper divisors (2092883696).

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

1341334000 is a wasteful number, since it uses less digits than its factorization.

1341334000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39491 (or 39475 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 1341334000 is about 36624.2269542990. The cubic root of 1341334000 is about 1102.8394958882.

Adding to 1341334000 its reverse (4331431), we get a palindrome (1345665431).

The spelling of 1341334000 in words is "one billion, three hundred forty-one million, three hundred thirty-four thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 125 136 170 200 250 272 340 400 425 500 680 850 1000 1360 1700 2000 2125 3400 4250 6800 8500 17000 34000 39451 78902 157804 197255 315608 394510 631216 670667 789020 986275 1341334 1578040 1972550 2682668 3156080 3353335 3945100 4931375 5365336 6706670 7890200 9862750 10730672 13413340 15780400 16766675 19725500 26826680 33533350 39451000 53653360 67066700 78902000 83833375 134133400 167666750 268266800 335333500 670667000 1341334000