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1341617408 = 2853611621
BaseRepresentation
bin100111111110111…
…0111010100000000
310110111111020002122
41033331313110000
510221423224113
6341043303412
745150363005
oct11775672400
93414436078
101341617408
1162934301a
1231537ab68
13184c49a71
14ca2758ac
157cbb1408
hex4ff77500

1341617408 has 72 divisors (see below), whose sum is σ = 2774963016. Its totient is φ = 646963200.

The previous prime is 1341617399. The next prime is 1341617419. The reversal of 1341617408 is 8047161431.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 154952704 + 1186664704 = 12448^2 + 34448^2 .

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 7 ways as a sum of consecutive naturals, for example, 826838 + ... + 828458.

It is an arithmetic number, because the mean of its divisors is an integer number (38541153).

Almost surely, 21341617408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1341617408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1387481508).

1341617408 is an abundant number, since it is smaller than the sum of its proper divisors (1433345608).

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

1341617408 is an equidigital number, since it uses as much as digits as its factorization.

1341617408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1751 (or 1737 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 35.

The square root of 1341617408 is about 36628.0958828056. The cubic root of 1341617408 is about 1102.9171627297.

Adding to 1341617408 its reverse (8047161431), we get a palindrome (9388778839).

The spelling of 1341617408 in words is "one billion, three hundred forty-one million, six hundred seventeen thousand, four hundred eight".

Divisors: 1 2 4 8 16 32 53 61 64 106 122 128 212 244 256 424 488 848 976 1621 1696 1952 3233 3242 3392 3904 6466 6484 6784 7808 12932 12968 13568 15616 25864 25936 51728 51872 85913 98881 103456 103744 171826 197762 206912 207488 343652 395524 413824 414976 687304 791048 827648 1374608 1582096 2749216 3164192 5240693 5498432 6328384 10481386 10996864 12656768 20962772 21993728 25313536 41925544 83851088 167702176 335404352 670808704 1341617408