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430523040 = 25353128933
BaseRepresentation
bin11001101010010…
…100001010100000
31010000002211120210
4121222110022200
51340203214130
6110415334120
713445246133
oct3152241240
91100084523
10430523040
11201023372
12100221340
136b26a67c
144126c21a
1527be25b0
hex19a942a0

430523040 has 96 divisors (see below), whose sum is σ = 1399942656. Its totient is φ = 111098880.

The previous prime is 430523029. The next prime is 430523047. The reversal of 430523040 is 40325034.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 430522998 and 430523016.

It is not an unprimeable number, because it can be changed into a prime (430523047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 414 + ... + 29346.

It is an arithmetic number, because the mean of its divisors is an integer number (14582736).

Almost surely, 2430523040 is an apocalyptic number.

430523040 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 430523040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699971328).

430523040 is an abundant number, since it is smaller than the sum of its proper divisors (969419616).

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

430523040 is a wasteful number, since it uses less digits than its factorization.

430523040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28982 (or 28974 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 21.

The square root of 430523040 is about 20749.0491348399. The cubic root of 430523040 is about 755.0901402544.

Adding to 430523040 its reverse (40325034), we get a palindrome (470848074).

The spelling of 430523040 in words is "four hundred thirty million, five hundred twenty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 48 60 62 80 93 96 120 124 155 160 186 240 248 310 372 465 480 496 620 744 930 992 1240 1488 1860 2480 2976 3720 4960 7440 14880 28933 57866 86799 115732 144665 173598 231464 289330 347196 433995 462928 578660 694392 867990 896923 925856 1157320 1388784 1735980 1793846 2314640 2690769 2777568 3471960 3587692 4484615 4629280 5381538 6943920 7175384 8969230 10763076 13453845 13887840 14350768 17938460 21526152 26907690 28701536 35876920 43052304 53815380 71753840 86104608 107630760 143507680 215261520 430523040