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423214632 = 2335297507
BaseRepresentation
bin11001001110011…
…011111000101000
31002111100112100000
4121032123320220
51331320332012
6105554543000
713326156621
oct3116337050
91074315300
10423214632
111a7991465
12b9897a60
13698abc79
14402c8a48
152724bddc
hex1939be28

423214632 has 96 divisors (see below), whose sum is σ = 1229810400. Its totient is φ = 136188864.

The previous prime is 423214619. The next prime is 423214637. The reversal of 423214632 is 236412324.

423214632 is a `hidden beast` number, since 4 + 2 + 3 + 21 + 4 + 632 = 666.

It is a super-2 number, since 2×4232146322 = 358221249477790848, which contains 22 as substring.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 423214596 and 423214605.

It is not an unprimeable number, because it can be changed into a prime (423214637) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52623 + ... + 60129.

It is an arithmetic number, because the mean of its divisors is an integer number (12810525).

Almost surely, 2423214632 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 423214632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614905200).

423214632 is an abundant number, since it is smaller than the sum of its proper divisors (806595768).

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

423214632 is a wasteful number, since it uses less digits than its factorization.

423214632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7557 (or 7541 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The square root of 423214632 is about 20572.1810219529. The cubic root of 423214632 is about 750.7930172028.

Adding to 423214632 its reverse (236412324), we get a palindrome (659626956).

The spelling of 423214632 in words is "four hundred twenty-three million, two hundred fourteen thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 29 36 54 58 72 81 87 108 116 162 174 216 232 243 261 324 348 486 522 648 696 783 972 1044 1566 1944 2088 2349 3132 4698 6264 7047 7507 9396 14094 15014 18792 22521 28188 30028 45042 56376 60056 67563 90084 135126 180168 202689 217703 270252 405378 435406 540504 608067 653109 810756 870812 1216134 1306218 1621512 1741624 1824201 1959327 2432268 2612436 3648402 3918654 4864536 5224872 5877981 7296804 7837308 11755962 14593608 15674616 17633943 23511924 35267886 47023848 52901829 70535772 105803658 141071544 211607316 423214632