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430145240 = 23571679199
BaseRepresentation
bin11001101000110…
…111111011011000
31002222101122100012
4121220313323120
51340104121430
6110403301052
713442113520
oct3150677330
91088348305
10430145240
11200895538
1210007a788
136b167715
14411b0680
1527b6a695
hex19a37ed8

430145240 has 64 divisors (see below), whose sum is σ = 1112832000. Its totient is φ = 146579328.

The previous prime is 430145207. The next prime is 430145263. The reversal of 430145240 is 42541034.

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 15 ways as a sum of consecutive naturals, for example, 42161 + ... + 51359.

It is an arithmetic number, because the mean of its divisors is an integer number (17388000).

Almost surely, 2430145240 is an apocalyptic number.

430145240 is a gapful number since it is divisible by the number (40) 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 430145240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556416000).

430145240 is an abundant number, since it is smaller than the sum of its proper divisors (682686760).

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

430145240 is a wasteful number, since it uses less digits than its factorization.

430145240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9384 (or 9380 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 430145240 is about 20739.9431050329. The cubic root of 430145240 is about 754.8692023757.

Adding to 430145240 its reverse (42541034), we get a palindrome (472686274).

The spelling of 430145240 in words is "four hundred thirty million, one hundred forty-five thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 167 280 334 668 835 1169 1336 1670 2338 3340 4676 5845 6680 9199 9352 11690 18398 23380 36796 45995 46760 64393 73592 91990 128786 183980 257572 321965 367960 515144 643930 1287860 1536233 2575720 3072466 6144932 7681165 10753631 12289864 15362330 21507262 30724660 43014524 53768155 61449320 86029048 107536310 215072620 430145240