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1341404040 = 2335171933407
BaseRepresentation
bin100111111110100…
…0011001110001000
310110111002101102010
41033331003032020
510221344412130
6341034535520
745145513644
oct11775031610
93414071363
101341404040
11629207789
123152975a0
13184ba3902
14ca21bc24
157cb6d0b0
hex4ff43388

1341404040 has 128 divisors (see below), whose sum is σ = 4284264960. Its totient is φ = 334823424.

The previous prime is 1341404039. The next prime is 1341404041. The reversal of 1341404040 is 404041431.

It is an interprime number because it is at equal distance from previous prime (1341404039) and next prime (1341404041).

It is a junction number, because it is equal to n+sod(n) for n = 1341403998 and 1341404016.

It is not an unprimeable number, because it can be changed into a prime (1341404041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 392017 + ... + 395423.

It is an arithmetic number, because the mean of its divisors is an integer number (33470820).

Almost surely, 21341404040 is an apocalyptic number.

1341404040 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 1341404040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2142132480).

1341404040 is an abundant number, since it is smaller than the sum of its proper divisors (2942860920).

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

1341404040 is a wasteful number, since it uses less digits than its factorization.

1341404040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3631 (or 3627 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 1341404040 is about 36625.1831394739. The cubic root of 1341404040 is about 1102.8586910908.

Adding to 1341404040 its reverse (404041431), we get a palindrome (1745445471).

The spelling of 1341404040 in words is "one billion, three hundred forty-one million, four hundred four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 193 204 255 340 386 408 510 579 680 772 965 1020 1158 1544 1930 2040 2316 2895 3281 3407 3860 4632 5790 6562 6814 7720 9843 10221 11580 13124 13628 16405 17035 19686 20442 23160 26248 27256 32810 34070 39372 40884 49215 51105 57919 65620 68140 78744 81768 98430 102210 115838 131240 136280 173757 196860 204420 231676 289595 347514 393720 408840 463352 579190 657551 695028 868785 1158380 1315102 1390056 1737570 1972653 2316760 2630204 3287755 3475140 3945306 5260408 6575510 6950280 7890612 9863265 11178367 13151020 15781224 19726530 22356734 26302040 33535101 39453060 44713468 55891835 67070202 78906120 89426936 111783670 134140404 167675505 223567340 268280808 335351010 447134680 670702020 1341404040