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424170396 = 223213331173
BaseRepresentation
bin11001010010000…
…101001110011100
31002120011002101200
4121102011032130
51332041423041
6110031235500
713340250246
oct3122051634
91076132350
10424170396
111a8484551
12ba078b90
1369b55000
1440497096
152738a1b6
hex1948539c

424170396 has 144 divisors (see below), whose sum is σ = 1205917440. Its totient is φ = 125573760.

The previous prime is 424170391. The next prime is 424170413. The reversal of 424170396 is 693071424.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 424170396.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424170391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2451766 + ... + 2451938.

Almost surely, 2424170396 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 424170396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602958720).

424170396 is an abundant number, since it is smaller than the sum of its proper divisors (781747044).

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

424170396 is a wasteful number, since it uses less digits than its factorization.

424170396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 424170396 is about 20595.3974470026. The cubic root of 424170396 is about 751.3577751123.

It can be divided in two parts, 424 and 170396, that added together give a triangular number (170820 = T584).

The spelling of 424170396 in words is "four hundred twenty-four million, one hundred seventy thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 31 36 39 52 62 78 93 117 124 156 169 173 186 234 279 338 346 372 403 468 507 519 558 676 692 806 1014 1038 1116 1209 1521 1557 1612 2028 2076 2197 2249 2418 3042 3114 3627 4394 4498 4836 5239 5363 6084 6228 6591 6747 7254 8788 8996 10478 10726 13182 13494 14508 15717 16089 19773 20241 20956 21452 26364 26988 29237 31434 32178 39546 40482 47151 48267 58474 62868 64356 68107 69719 79092 80964 87711 94302 96534 116948 136214 139438 175422 188604 193068 204321 209157 263133 272428 278876 350844 380081 408642 418314 526266 612963 627471 760162 817284 836628 906347 1052532 1140243 1225926 1254942 1520324 1812694 2280486 2451852 2509884 2719041 3420729 3625388 4560972 5438082 6841458 8157123 10876164 11782511 13682916 16314246 23565022 32628492 35347533 47130044 70695066 106042599 141390132 212085198 424170396