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430343140 = 225433111609
BaseRepresentation
bin11001101001101…
…000001111100100
31002222202200210211
4121221220033210
51340131440030
6110411425204
713443566503
oct3151501744
91088680724
10430343140
11200a10197
12100155204
136b206816
144122283a
1527ba912a
hex19a683e4

430343140 has 48 divisors (see below), whose sum is σ = 928287360. Its totient is φ = 167489280.

The previous prime is 430343059. The next prime is 430343143. The reversal of 430343140 is 41343034.

It is not an unprimeable number, because it can be changed into a prime (430343143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 266656 + ... + 268264.

It is an arithmetic number, because the mean of its divisors is an integer number (19339320).

Almost surely, 2430343140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 430343140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464143680).

430343140 is an abundant number, since it is smaller than the sum of its proper divisors (497944220).

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

430343140 is a wasteful number, since it uses less digits than its factorization.

430343140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1972 (or 1970 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 430343140 is about 20744.7135434549. The cubic root of 430343140 is about 754.9849506525.

Adding to 430343140 its reverse (41343034), we get a palindrome (471686174).

The spelling of 430343140 in words is "four hundred thirty million, three hundred forty-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 43 86 172 215 311 430 622 860 1244 1555 1609 3110 3218 6220 6436 8045 13373 16090 26746 32180 53492 66865 69187 133730 138374 267460 276748 345935 500399 691870 1000798 1383740 2001596 2501995 5003990 10007980 21517157 43034314 86068628 107585785 215171570 430343140