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2411401340 = 2251931277739
BaseRepresentation
bin1000111110111011…
…0001000001111100
320020001110212202202
42033232301001330
514414304320330
61035140411032
7113520400415
oct21756610174
96201425682
102411401340
11102819a577
125736a6a78
132c577b2ca
1418c38a80c
15e1a79445
hex8fbb107c

2411401340 has 96 divisors (see below), whose sum is σ = 5529753600. Its totient is φ = 879932160.

The previous prime is 2411401339. The next prime is 2411401379. The reversal of 2411401340 is 431041142.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 31 ways as a sum of consecutive naturals, for example, 3262691 + ... + 3263429.

It is an arithmetic number, because the mean of its divisors is an integer number (57601600).

Almost surely, 22411401340 is an apocalyptic number.

2411401340 is a gapful number since it is divisible by the number (20) 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 2411401340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2764876800).

2411401340 is an abundant number, since it is smaller than the sum of its proper divisors (3118352260).

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

2411401340 is a wasteful number, since it uses less digits than its factorization.

2411401340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1075 (or 1073 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 2411401340 is about 49106.0214230394. The cubic root of 2411401340 is about 1340.9826719317.

Adding to 2411401340 its reverse (431041142), we get a palindrome (2842442482).

The spelling of 2411401340 in words is "two billion, four hundred eleven million, four hundred one thousand, three hundred forty".

Divisors: 1 2 4 5 10 19 20 31 38 62 76 95 124 155 190 277 310 380 554 589 620 739 1108 1178 1385 1478 2356 2770 2945 2956 3695 5263 5540 5890 7390 8587 10526 11780 14041 14780 17174 21052 22909 26315 28082 34348 42935 45818 52630 56164 70205 85870 91636 105260 114545 140410 163153 171740 204703 229090 280820 326306 409406 435271 458180 652612 815765 818812 870542 1023515 1631530 1741084 2047030 2176355 3263060 3889357 4094060 4352710 6345793 7778714 8705420 12691586 15557428 19446785 25383172 31728965 38893570 63457930 77787140 120570067 126915860 241140134 482280268 602850335 1205700670 2411401340