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423252324 = 223311379629
BaseRepresentation
bin11001001110100…
…101000101100100
31002111102110001000
4121032211011210
51331323033244
6105555433300
713326404535
oct3116450544
91074373030
10423252324
111a7a07810
12b98b5830
13698c3181
14402d868c
1527258169
hex193a5164

423252324 has 96 divisors (see below), whose sum is σ = 1229558400. Its totient is φ = 124778880.

The previous prime is 423252289. The next prime is 423252353.

It is a happy number.

423252324 is a `hidden beast` number, since 423 + 2 + 5 + 232 + 4 = 666.

423252324 is nontrivially palindromic in base 10.

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

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 39142 + ... + 48770.

It is an arithmetic number, because the mean of its divisors is an integer number (12807900).

Almost surely, 2423252324 is an apocalyptic number.

423252324 is a gapful number since it is divisible by the number (44) 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 423252324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614779200).

423252324 is an abundant number, since it is smaller than the sum of its proper divisors (806306076).

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

423252324 is a wasteful number, since it uses less digits than its factorization.

423252324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9690 (or 9682 counting only the distinct ones).

The product of its digits is 11520, while the sum is 27.

The square root of 423252324 is about 20573.0970930485. The cubic root of 423252324 is about 750.8153053817.

The spelling of 423252324 in words is "four hundred twenty-three million, two hundred fifty-two thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 37 44 54 66 74 99 108 111 132 148 198 222 297 333 396 407 444 594 666 814 999 1188 1221 1332 1628 1998 2442 3663 3996 4884 7326 9629 10989 14652 19258 21978 28887 38516 43956 57774 86661 105919 115548 173322 211838 259983 317757 346644 356273 423676 519966 635514 712546 953271 1039932 1068819 1271028 1425092 1906542 2137638 2859813 3206457 3813084 3919003 4275276 5719626 6412914 7838006 9619371 11439252 11757009 12825828 15676012 19238742 23514018 35271027 38477484 47028036 70542054 105813081 141084108 211626162 423252324