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1341234132 = 22379721697
BaseRepresentation
bin100111111110001…
…1001101111010100
310110110202202100020
41033330121233110
510221323443012
6341031145140
745144205410
oct11774315724
93413682306
101341234132
11629101067
123152151b0
13184b44484
14ca1b5d40
157cb37a8c
hex4ff19bd4

1341234132 has 72 divisors (see below), whose sum is σ = 3616006464. Its totient is φ = 379035648.

The previous prime is 1341234131. The next prime is 1341234133. The reversal of 1341234132 is 2314321431.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1341234131) and next prime (1341234133).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1341234131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 789508 + ... + 791204.

It is an arithmetic number, because the mean of its divisors is an integer number (50222312).

Almost surely, 21341234132 is an apocalyptic number.

1341234132 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 1341234132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1808003232).

1341234132 is an abundant number, since it is smaller than the sum of its proper divisors (2274772332).

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

1341234132 is a wasteful number, since it uses less digits than its factorization.

1341234132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1905 (or 1806 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

The square root of 1341234132 is about 36622.8635144769. The cubic root of 1341234132 is about 1102.8121248510.

Adding to 1341234132 its reverse (2314321431), we get a palindrome (3655555563).

The spelling of 1341234132 in words is "one billion, three hundred forty-one million, two hundred thirty-four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 97 194 291 388 582 679 1164 1358 1697 2037 2716 3394 4074 5091 6788 8148 9409 10182 11879 18818 20364 23758 28227 35637 37636 47516 56454 65863 71274 112908 131726 142548 164609 197589 263452 329218 395178 493827 658436 790356 987654 1152263 1975308 2304526 3456789 4609052 6913578 13827156 15967073 31934146 47901219 63868292 95802438 111769511 191604876 223539022 335308533 447078044 670617066 1341234132