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423252000324 = 223337370128619
BaseRepresentation
bin1100010100010111100…
…10001111111001000100
31111110111011022101001000
412022023302033321010
523413310003002244
6522234515133300
742402402433266
oct6121362177104
91443434271030
10423252000324
111535557a139a
126a0422a4230
1330bb299050a
14166b232bb36
15b022dd5169
hex628bc8fe44

423252000324 has 96 divisors (see below), whose sum is σ = 1127321193600. Its totient is φ = 137229033600.

The previous prime is 423252000277. The next prime is 423252000329. The reversal of 423252000324 is 423000252324.

It is a happy number.

423252000324 is a `hidden beast` number, since 423 + 2 + 5 + 200 + 0 + 32 + 4 = 666.

It is a super-2 number, since 2×4232520003242 (a number of 24 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (423252000329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14774887 + ... + 14803505.

It is an arithmetic number, because the mean of its divisors is an integer number (11742929100).

Almost surely, 2423252000324 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 423252000324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563660596800).

423252000324 is an abundant number, since it is smaller than the sum of its proper divisors (704069193276).

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

423252000324 is a wasteful number, since it uses less digits than its factorization.

423252000324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32370 (or 32362 counting only the distinct ones).

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

Adding to 423252000324 its reverse (423000252324), we get a palindrome (846252252648).

It can be divided in two parts, 423252000 and 324, that added together give a palindrome (423252324).

The spelling of 423252000324 in words is "four hundred twenty-three billion, two hundred fifty-two million, three hundred twenty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 108 111 148 222 333 444 666 999 1332 1998 3701 3996 7402 11103 14804 22206 28619 33309 44412 57238 66618 85857 99927 114476 133236 136937 171714 199854 257571 273874 343428 399708 410811 515142 547748 772713 821622 1030284 1058903 1232433 1545426 1643244 2117806 2464866 3090852 3176709 3697299 4235612 4929732 6353418 7394598 9530127 12706836 14789196 19060254 28590381 38120508 57180762 105918919 114361524 211837838 317756757 423675676 635513514 953270271 1271027028 1906540542 2859810813 3813081084 3919000003 5719621626 7838000006 11439243252 11757000009 15676000012 23514000018 35271000027 47028000036 70542000054 105813000081 141084000108 211626000162 423252000324