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434040440 = 23515171861
BaseRepresentation
bin11001110111101…
…110111001111000
31010020201112112212
4121313232321320
51342103243230
6111022554252
713520166011
oct3167567170
91106645485
10434040440
11203006009
12101438988
136bbcc682
1441906008
1528189895
hex19deee78

434040440 has 32 divisors (see below), whose sum is σ = 983072160. Its totient is φ = 172464000.

The previous prime is 434040367. The next prime is 434040461. The reversal of 434040440 is 44040434.

It is a super-2 number, since 2×4340404402 = 376782207110787200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29891 + ... + 41970.

It is an arithmetic number, because the mean of its divisors is an integer number (30721005).

Almost surely, 2434040440 is an apocalyptic number.

434040440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

434040440 is an abundant number, since it is smaller than the sum of its proper divisors (549031720).

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

434040440 is a wasteful number, since it uses less digits than its factorization.

434040440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72023 (or 72019 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 23.

The square root of 434040440 is about 20833.6372244503. The cubic root of 434040440 is about 757.1409430862.

Adding to 434040440 its reverse (44040434), we get a palindrome (478080874).

The spelling of 434040440 in words is "four hundred thirty-four million, forty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 151 302 604 755 1208 1510 3020 6040 71861 143722 287444 359305 574888 718610 1437220 2874440 10851011 21702022 43404044 54255055 86808088 108510110 217020220 434040440