Search a number
-
+
423341964 = 223919283
BaseRepresentation
bin11001001110111…
…010111110001100
31002111121000000000
4121032322332030
51331333420324
6110001404300
713330230063
oct3116727614
91074530000
10423341964
111a7a690a1
12b9939690
1369924c06
144031d1da
15272749c9
hex193baf8c

423341964 has 120 divisors (see below), whose sum is σ = 1173874240. Its totient is φ = 133214544.

The previous prime is 423341911. The next prime is 423341977. The reversal of 423341964 is 469143324.

It is a happy number.

423341964 is a `hidden beast` number, since 4 + 233 + 419 + 6 + 4 = 666.

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

It is a nude number because it is divisible by every one of its digits.

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 39 ways as a sum of consecutive naturals, for example, 1495767 + ... + 1496049.

Almost surely, 2423341964 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 423341964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (586937120).

423341964 is an abundant number, since it is smaller than the sum of its proper divisors (750532276).

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

423341964 is an equidigital number, since it uses as much as digits as its factorization.

423341964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 307 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 423341964 is about 20575.2755510102. The cubic root of 423341964 is about 750.8683063375.

The spelling of 423341964 in words is "four hundred twenty-three million, three hundred forty-one thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 81 108 114 162 171 228 243 283 324 342 486 513 566 684 729 849 972 1026 1132 1458 1539 1698 2052 2187 2547 2916 3078 3396 4374 4617 5094 5377 6156 6561 7641 8748 9234 10188 10754 13122 13851 15282 16131 18468 19683 21508 22923 26244 27702 30564 32262 39366 41553 45846 48393 55404 64524 68769 78732 83106 91692 96786 124659 137538 145179 166212 193572 206307 249318 275076 290358 373977 412614 435537 498636 580716 618921 747954 825228 871074 1237842 1306611 1495908 1742148 1856763 2475684 2613222 3713526 3919833 5226444 5570289 7427052 7839666 11140578 11759499 15679332 22281156 23518998 35278497 47037996 70556994 105835491 141113988 211670982 423341964