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1341467232 = 25374742473
BaseRepresentation
bin100111111110101…
…0010101001100000
310110111012121002120
41033331102221200
510221403422412
6341040144240
745146166120
oct11775225140
93414177076
101341467232
11629250206
12315308080
13184bc65c1
14ca236c80
157cb81b8c
hex4ff52a60

1341467232 has 96 divisors (see below), whose sum is σ = 4110124032. Its totient is φ = 375112704.

The previous prime is 1341467221. The next prime is 1341467273. The reversal of 1341467232 is 2327641431.

1341467232 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a junction number, because it is equal to n+sod(n) for n = 1341467193 and 1341467202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10348 + ... + 52820.

It is an arithmetic number, because the mean of its divisors is an integer number (42813792).

Almost surely, 21341467232 is an apocalyptic number.

1341467232 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 1341467232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2055062016).

1341467232 is an abundant number, since it is smaller than the sum of its proper divisors (2768656800).

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

1341467232 is a wasteful number, since it uses less digits than its factorization.

1341467232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42540 (or 42532 counting only the distinct ones).

The product of its digits is 24192, while the sum is 33.

The square root of 1341467232 is about 36626.0458144201. The cubic root of 1341467232 is about 1102.8760089533.

The spelling of 1341467232 in words is "one billion, three hundred forty-one million, four hundred sixty-seven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 47 48 56 84 94 96 112 141 168 188 224 282 329 336 376 564 658 672 752 987 1128 1316 1504 1974 2256 2632 3948 4512 5264 7896 10528 15792 31584 42473 84946 127419 169892 254838 297311 339784 509676 594622 679568 891933 1019352 1189244 1359136 1783866 1996231 2038704 2378488 3567732 3992462 4077408 4756976 5988693 7135464 7984924 9513952 11977386 13973617 14270928 15969848 23954772 27947234 28541856 31939696 41920851 47909544 55894468 63879392 83841702 95819088 111788936 167683404 191638176 223577872 335366808 447155744 670733616 1341467232