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412495320 = 233519227797
BaseRepresentation
bin11000100101100…
…010110111011000
31001202011221012110
4120211202313120
51321044322240
6104533112320
713136103156
oct3045426730
91052157173
10412495320
111a192a926
12b61886a0
13675c7b93
143cad83d6
1526330c80
hex18962dd8

412495320 has 128 divisors (see below), whose sum is σ = 1309996800. Its totient is φ = 103620096.

The previous prime is 412495319. The next prime is 412495337. The reversal of 412495320 is 23594214.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 517162 + ... + 517958.

It is an arithmetic number, because the mean of its divisors is an integer number (10234350).

Almost surely, 2412495320 is an apocalyptic number.

412495320 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 412495320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654998400).

412495320 is an abundant number, since it is smaller than the sum of its proper divisors (897501480).

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

412495320 is a wasteful number, since it uses less digits than its factorization.

412495320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1057 (or 1053 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 412495320 is about 20309.9807976276. The cubic root of 412495320 is about 744.3999612703.

The spelling of 412495320 in words is "four hundred twelve million, four hundred ninety-five thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 227 228 285 380 454 456 570 681 760 797 908 1135 1140 1362 1594 1816 2270 2280 2391 2724 3188 3405 3985 4313 4540 4782 5448 6376 6810 7970 8626 9080 9564 11955 12939 13620 15143 15940 17252 19128 21565 23910 25878 27240 30286 31880 34504 43130 45429 47820 51756 60572 64695 75715 86260 90858 95640 103512 121144 129390 151430 172520 180919 181716 227145 258780 302860 361838 363432 454290 517560 542757 605720 723676 904595 908580 1085514 1447352 1809190 1817160 2171028 2713785 3437461 3618380 4342056 5427570 6874922 7236760 10312383 10855140 13749844 17187305 20624766 21710280 27499688 34374610 41249532 51561915 68749220 82499064 103123830 137498440 206247660 412495320