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434430434040 = 23353620253617
BaseRepresentation
bin1100101001001100001…
…00100101101011111000
31112112100012111122022120
412110212010211223320
524104203142342130
6531324035521240
743246406522121
oct6244604455370
91475305448276
10434430434040
11158271722069
1270241a59220
1331c74860b35
1417052ba9048
15b47946d910
hex6526125af8

434430434040 has 32 divisors (see below), whose sum is σ = 1303291302480. Its totient is φ = 115848115712.

The previous prime is 434430434027. The next prime is 434430434047. The reversal of 434430434040 is 40434034434.

It is a junction number, because it is equal to n+sod(n) for n = 434430433992 and 434430434010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434430434047) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1810126689 + ... + 1810126928.

Almost surely, 2434430434040 is an apocalyptic number.

434430434040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

434430434040 is an abundant number, since it is smaller than the sum of its proper divisors (868860868440).

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

434430434040 is a wasteful number, since it uses less digits than its factorization.

434430434040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3620253631 (or 3620253627 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 33.

Adding to 434430434040 its reverse (40434034434), we get a palindrome (474864468474).

The spelling of 434430434040 in words is "four hundred thirty-four billion, four hundred thirty million, four hundred thirty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 3620253617 7240507234 10860760851 14481014468 18101268085 21721521702 28962028936 36202536170 43443043404 54303804255 72405072340 86886086808 108607608510 144810144680 217215217020 434430434040