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2429430 = 235471723
BaseRepresentation
bin1001010001000111110110
311120102112220
421101013312
51110220210
6124023210
726435613
oct11210766
94512486
102429430
11140a2a3
12991b06
13670a43
1447350a
1532ec70
hex2511f6

2429430 has 32 divisors (see below), whose sum is σ = 5958144. Its totient is φ = 633696.

The previous prime is 2429411. The next prime is 2429437. The reversal of 2429430 is 349242.

It is a happy number.

2429430 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2429430.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2429437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 549 + ... + 2271.

It is an arithmetic number, because the mean of its divisors is an integer number (186192).

22429430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2429430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2979072).

2429430 is an abundant number, since it is smaller than the sum of its proper divisors (3528714).

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

2429430 is a wasteful number, since it uses less digits than its factorization.

2429430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1780.

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 2429430 is about 1558.6628885041. The cubic root of 2429430 is about 134.4316296376.

The spelling of 2429430 in words is "two million, four hundred twenty-nine thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 47 94 141 235 282 470 705 1410 1723 3446 5169 8615 10338 17230 25845 51690 80981 161962 242943 404905 485886 809810 1214715 2429430