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1341034120 = 235174345863
BaseRepresentation
bin100111111101110…
…1000111010001000
310110110101120222101
41033323220322020
510221301042440
6341023003144
745142413316
oct11773507210
93413346871
101341034120
11628a84868
123151394b4
13184aa441a
14ca1630b6
157cae869a
hex4fee8e88

1341034120 has 64 divisors (see below), whose sum is σ = 3269185920. Its totient is φ = 493108224.

The previous prime is 1341034087. The next prime is 1341034129. The reversal of 1341034120 is 214301431.

It is a super-2 number, since 2×13410341202 = 3596745022008348800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1341034129) 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 15 ways as a sum of consecutive naturals, for example, 6309 + ... + 52171.

It is an arithmetic number, because the mean of its divisors is an integer number (51081030).

Almost surely, 21341034120 is an apocalyptic number.

1341034120 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 1341034120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1634592960).

1341034120 is an abundant number, since it is smaller than the sum of its proper divisors (1928151800).

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

1341034120 is a wasteful number, since it uses less digits than its factorization.

1341034120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45934 (or 45930 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 1341034120 is about 36620.1327141233. The cubic root of 1341034120 is about 1102.7573030470.

Adding to 1341034120 its reverse (214301431), we get a palindrome (1555335551).

The spelling of 1341034120 in words is "one billion, three hundred forty-one million, thirty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 43 68 85 86 136 170 172 215 340 344 430 680 731 860 1462 1720 2924 3655 5848 7310 14620 29240 45863 91726 183452 229315 366904 458630 779671 917260 1559342 1834520 1972109 3118684 3898355 3944218 6237368 7796710 7888436 9860545 15593420 15776872 19721090 31186840 33525853 39442180 67051706 78884360 134103412 167629265 268206824 335258530 670517060 1341034120