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420170328 = 2335292257
BaseRepresentation
bin11001000010110…
…100101001011000
31002021121212100000
4121002310221120
51330030422303
6105405413000
713261250244
oct3102645130
91067555300
10420170328
111a61a2206
12b886a160
13690843c6
143db35424
1526d49da3
hex190b4a58

420170328 has 144 divisors (see below), whose sum is σ = 1226960280. Its totient is φ = 134701056.

The previous prime is 420170297. The next prime is 420170339. The reversal of 420170328 is 823071024.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1634776 + ... + 1635032.

Almost surely, 2420170328 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 420170328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613480140).

420170328 is an abundant number, since it is smaller than the sum of its proper divisors (806789952).

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

420170328 is a wasteful number, since it uses less digits than its factorization.

420170328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 420170328 is about 20498.0566883790. The cubic root of 420170328 is about 748.9884603300.

It can be divided in two parts, 4201 and 70328, that added together give a square (74529 = 2732).

The spelling of 420170328 in words is "four hundred twenty million, one hundred seventy thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 29 36 54 58 72 81 87 108 116 162 174 216 232 243 257 261 324 348 486 514 522 648 696 771 783 841 972 1028 1044 1542 1566 1682 1944 2056 2088 2313 2349 2523 3084 3132 3364 4626 4698 5046 6168 6264 6728 6939 7047 7453 7569 9252 9396 10092 13878 14094 14906 15138 18504 18792 20184 20817 22359 22707 27756 28188 29812 30276 41634 44718 45414 55512 56376 59624 60552 62451 67077 68121 83268 89436 90828 124902 134154 136242 166536 178872 181656 201231 204363 216137 249804 268308 272484 402462 408726 432274 499608 536616 544968 603693 648411 804924 817452 864548 1207386 1296822 1609848 1634904 1729096 1811079 1945233 2414772 2593644 3622158 3890466 4829544 5187288 5835699 7244316 7780932 11671398 14488632 15561864 17507097 23342796 35014194 46685592 52521291 70028388 105042582 140056776 210085164 420170328