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1341614440 = 23553738669
BaseRepresentation
bin100111111110111…
…0110100101101000
310110111111002000201
41033331312211220
510221423130230
6341043241544
745150351235
oct11775664550
93414432021
101341614440
11629340871
123153792b4
13184c485ca
14ca27478c
157cbb05ca
hex4ff76968

1341614440 has 64 divisors (see below), whose sum is σ = 3118078800. Its totient is φ = 519247872.

The previous prime is 1341614437. The next prime is 1341614441. The reversal of 1341614440 is 444161431.

It can be written as a sum of positive squares in 8 ways, for example, as 737339716 + 604274724 = 27154^2 + 24582^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1341614399 and 1341614408.

It is not an unprimeable number, because it can be changed into a prime (1341614441) 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 15 ways as a sum of consecutive naturals, for example, 150426 + ... + 159094.

Almost surely, 21341614440 is an apocalyptic number.

1341614440 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 1341614440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1559039400).

1341614440 is an abundant number, since it is smaller than the sum of its proper divisors (1776464360).

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

1341614440 is a wasteful number, since it uses less digits than its factorization.

1341614440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8806 (or 8802 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 1341614440 is about 36628.0553674366. The cubic root of 1341614440 is about 1102.9163494177.

Adding to 1341614440 its reverse (444161431), we get a palindrome (1785775871).

It can be divided in two parts, 134161 and 4440, that added together give a triangular number (138601 = T526).

The spelling of 1341614440 in words is "one billion, three hundred forty-one million, six hundred fourteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 53 73 106 146 212 265 292 365 424 530 584 730 1060 1460 2120 2920 3869 7738 8669 15476 17338 19345 30952 34676 38690 43345 69352 77380 86690 154760 173380 346760 459457 632837 918914 1265674 1837828 2297285 2531348 3164185 3675656 4594570 5062696 6328370 9189140 12656740 18378280 25313480 33540361 67080722 134161444 167701805 268322888 335403610 670807220 1341614440