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430414040 = 23572219599
BaseRepresentation
bin11001101001111…
…001100011011000
31002222220022001202
4121221321203120
51340141222130
6110413133332
713444313300
oct3151714330
91088808052
10430414040
11200a59491
1210018a248
136b22cb84
1441240600
1527bc0145
hex19a798d8

430414040 has 48 divisors (see below), whose sum is σ = 1126548000. Its totient is φ = 147569856.

The previous prime is 430414021. The next prime is 430414043. The reversal of 430414040 is 40414034.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (430414043) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 107840 + ... + 111759.

It is an arithmetic number, because the mean of its divisors is an integer number (23469750).

Almost surely, 2430414040 is an apocalyptic number.

430414040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

430414040 is an abundant number, since it is smaller than the sum of its proper divisors (696133960).

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

430414040 is a wasteful number, since it uses less digits than its factorization.

430414040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219624 (or 219613 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 430414040 is about 20746.4223421775. The cubic root of 430414040 is about 755.0264101985.

Adding to 430414040 its reverse (40414034), we get a palindrome (470828074).

The spelling of 430414040 in words is "four hundred thirty million, four hundred fourteen thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 490 980 1960 219599 439198 878396 1097995 1537193 1756792 2195990 3074386 4391980 6148772 7685965 8783960 10760351 12297544 15371930 21520702 30743860 43041404 53801755 61487720 86082808 107603510 215207020 430414040