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434713340 = 225234720107
BaseRepresentation
bin11001111010010…
…011001011111100
31010021222201121002
4121322103023330
51342241311330
6111045225432
713526000555
oct3172231374
91107881532
10434713340
11203425626
12101702278
136c0a6a39
1441a3d32c
152826de45
hex19e932fc

434713340 has 48 divisors (see below), whose sum is σ = 972905472. Its totient is φ = 162778176.

The previous prime is 434713327. The next prime is 434713351. The reversal of 434713340 is 43317434.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11567 + ... + 31673.

It is an arithmetic number, because the mean of its divisors is an integer number (20268864).

Almost surely, 2434713340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434713340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486452736).

434713340 is an abundant number, since it is smaller than the sum of its proper divisors (538192132).

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

434713340 is a wasteful number, since it uses less digits than its factorization.

434713340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20186 (or 20184 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 29.

The square root of 434713340 is about 20849.7803345743. The cubic root of 434713340 is about 757.5320103963.

The spelling of 434713340 in words is "four hundred thirty-four million, seven hundred thirteen thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 23 46 47 92 94 115 188 230 235 460 470 940 1081 2162 4324 5405 10810 20107 21620 40214 80428 100535 201070 402140 462461 924922 945029 1849844 1890058 2312305 3780116 4624610 4725145 9249220 9450290 18900580 21735667 43471334 86942668 108678335 217356670 434713340