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423706240 = 2752937617
BaseRepresentation
bin11001010000010…
…011111010000000
31002112021111200201
4121100103322000
51331432044430
6110013254544
713333305106
oct3120237200
91075244621
10423706240
111a8197851
12b9a94454
1369a21969
14403b5c76
15272e78ca
hex19413e80

423706240 has 128 divisors (see below), whose sum is σ = 1077915600. Its totient is φ = 158957568.

The previous prime is 423706229. The next prime is 423706273. The reversal of 423706240 is 42607324.

It can be written as a sum of positive squares in 8 ways, for example, as 153958464 + 269747776 = 12408^2 + 16424^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 423706199 and 423706208.

It is an unprimeable number.

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, 686412 + ... + 687028.

Almost surely, 2423706240 is an apocalyptic number.

423706240 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 423706240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538957800).

423706240 is an abundant number, since it is smaller than the sum of its proper divisors (654209360).

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

423706240 is a wasteful number, since it uses less digits than its factorization.

423706240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 28.

The square root of 423706240 is about 20584.1259226619. The cubic root of 423706240 is about 751.0836128827.

The spelling of 423706240 in words is "four hundred twenty-three million, seven hundred six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 32 37 40 58 64 74 80 116 128 145 148 160 185 232 290 296 320 370 464 580 592 617 640 740 928 1073 1160 1184 1234 1480 1856 2146 2320 2368 2468 2960 3085 3712 4292 4640 4736 4936 5365 5920 6170 8584 9280 9872 10730 11840 12340 17168 17893 18560 19744 21460 22829 23680 24680 34336 35786 39488 42920 45658 49360 68672 71572 78976 85840 89465 91316 98720 114145 137344 143144 171680 178930 182632 197440 228290 286288 343360 357860 365264 394880 456580 572576 662041 686720 715720 730528 913160 1145152 1324082 1431440 1461056 1826320 2290304 2648164 2862880 2922112 3310205 3652640 5296328 5725760 6620410 7305280 10592656 11451520 13240820 14610560 21185312 26481640 42370624 52963280 84741248 105926560 211853120 423706240