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423305040 = 243513912689
BaseRepresentation
bin11001001110110…
…001111101010000
31002111112010100110
4121032301331100
51331331230130
6110000521320
713330014324
oct3116617520
91074463313
10423305040
111a7a43384
12b9920240
1369911172
144030d984
1527268ab0
hex193b1f50

423305040 has 80 divisors (see below), whose sum is σ = 1321790400. Its totient is φ = 112060416.

The previous prime is 423305023. The next prime is 423305101. The reversal of 423305040 is 40503324.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 423304998 and 423305016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27016 + ... + 39704.

It is an arithmetic number, because the mean of its divisors is an integer number (16522380).

Almost surely, 2423305040 is an apocalyptic number.

423305040 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 423305040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660895200).

423305040 is an abundant number, since it is smaller than the sum of its proper divisors (898485360).

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

423305040 is a wasteful number, since it uses less digits than its factorization.

423305040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12844 (or 12838 counting only the distinct ones).

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

The square root of 423305040 is about 20574.3782409092. The cubic root of 423305040 is about 750.8464753909.

Adding to 423305040 its reverse (40503324), we get a palindrome (463808364).

The spelling of 423305040 in words is "four hundred twenty-three million, three hundred five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 139 240 278 417 556 695 834 1112 1390 1668 2085 2224 2780 3336 4170 5560 6672 8340 11120 12689 16680 25378 33360 38067 50756 63445 76134 101512 126890 152268 190335 203024 253780 304536 380670 507560 609072 761340 1015120 1522680 1763771 3045360 3527542 5291313 7055084 8818855 10582626 14110168 17637710 21165252 26456565 28220336 35275420 42330504 52913130 70550840 84661008 105826260 141101680 211652520 423305040