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3041240430 = 2353117918269
BaseRepresentation
bin1011010101000101…
…1010010101101110
321211221122000120110
42311101122111232
522212024143210
61221440200450
7135236055114
oct26521322556
97757560513
103041240430
111320778a48
1270a609126
133960c3867
1420bc9dab4
1512bedd420
hexb545a56e

3041240430 has 64 divisors (see below), whose sum is σ = 7576934400. Its totient is φ = 780408960.

The previous prime is 3041240393. The next prime is 3041240437. The reversal of 3041240430 is 340421403.

It is a junction number, because it is equal to n+sod(n) for n = 3041240397 and 3041240406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3041240437) by changing a digit.

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, 157336 + ... + 175604.

It is an arithmetic number, because the mean of its divisors is an integer number (118389600).

Almost surely, 23041240430 is an apocalyptic number.

3041240430 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3041240430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3788467200).

3041240430 is an abundant number, since it is smaller than the sum of its proper divisors (4535693970).

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

3041240430 is a wasteful number, since it uses less digits than its factorization.

3041240430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18489.

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 3041240430 is about 55147.4426424290. The cubic root of 3041240430 is about 1448.8282932236.

Adding to 3041240430 its reverse (340421403), we get a palindrome (3381661833).

The spelling of 3041240430 in words is "three billion, forty-one million, two hundred forty thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 31 62 93 155 179 186 310 358 465 537 895 930 1074 1790 2685 5370 5549 11098 16647 18269 27745 33294 36538 54807 55490 83235 91345 109614 166470 182690 274035 548070 566339 1132678 1699017 2831695 3270151 3398034 5663390 6540302 8495085 9810453 16350755 16990170 19620906 32701510 49052265 98104530 101374681 202749362 304124043 506873405 608248086 1013746810 1520620215 3041240430