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434220240 = 24358772063
BaseRepresentation
bin11001111000011…
…010110011010000
31010021001200012010
4121320122303100
51342130021430
6111030502520
713521545136
oct3170326320
91107050163
10434220240
11203119103
12101504a40
136bc6346c
1441951756
15281c2cb0
hex19e1acd0

434220240 has 80 divisors (see below), whose sum is σ = 1348270848. Its totient is φ = 115603968.

The previous prime is 434220229. The next prime is 434220247. The reversal of 434220240 is 42022434.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434220247) 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, 209449 + ... + 211511.

Almost surely, 2434220240 is an apocalyptic number.

434220240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

434220240 is an abundant number, since it is smaller than the sum of its proper divisors (914050608).

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

434220240 is a wasteful number, since it uses less digits than its factorization.

434220240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2956 (or 2950 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

The square root of 434220240 is about 20837.9519147156. The cubic root of 434220240 is about 757.2454764704.

Adding to 434220240 its reverse (42022434), we get a palindrome (476242674).

The spelling of 434220240 in words is "four hundred thirty-four million, two hundred twenty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 877 1754 2063 2631 3508 4126 4385 5262 6189 7016 8252 8770 10315 10524 12378 13155 14032 16504 17540 20630 21048 24756 26310 30945 33008 35080 41260 42096 49512 52620 61890 70160 82520 99024 105240 123780 165040 210480 247560 495120 1809251 3618502 5427753 7237004 9046255 10855506 14474008 18092510 21711012 27138765 28948016 36185020 43422024 54277530 72370040 86844048 108555060 144740080 217110120 434220240