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2414430 = 2325139193
BaseRepresentation
bin1001001101011101011110
311112122222100
421031131132
51104230210
6123425530
726344104
oct11153536
94478870
102414430
1113a9aa7
129852a6
13666c75
1446bc74
1532a5c0
hex24d75e

2414430 has 48 divisors (see below), whose sum is σ = 6355440. Its totient is φ = 635904.

The previous prime is 2414417. The next prime is 2414443. The reversal of 2414430 is 344142.

It is an interprime number because it is at equal distance from previous prime (2414417) and next prime (2414443).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12414 + ... + 12606.

It is an arithmetic number, because the mean of its divisors is an integer number (132405).

22414430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2414430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3177720).

2414430 is an abundant number, since it is smaller than the sum of its proper divisors (3941010).

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

2414430 is a wasteful number, since it uses less digits than its factorization.

2414430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2414430 is about 1553.8436214755. The cubic root of 2414430 is about 134.1543850663.

Adding to 2414430 its reverse (344142), we get a palindrome (2758572).

The spelling of 2414430 in words is "two million, four hundred fourteen thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 139 193 278 386 417 579 695 834 965 1158 1251 1390 1737 1930 2085 2502 2895 3474 4170 5790 6255 8685 12510 17370 26827 53654 80481 134135 160962 241443 268270 402405 482886 804810 1207215 2414430