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324140424 = 233293741307
BaseRepresentation
bin10011010100011…
…111110110001000
3211120221001001220
4103110133312020
51130434443144
652055242040
711014101546
oct2324376610
9746831056
10324140424
11156a72553
1290679320
135220098a
1431098d96
151d6cb919
hex1351fd88

324140424 has 128 divisors (see below), whose sum is σ = 884822400. Its totient is φ = 98703360.

The previous prime is 324140419. The next prime is 324140431. The reversal of 324140424 is 424041423.

It is a happy number.

324140424 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 324140394 and 324140403.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1055679 + ... + 1055985.

It is an arithmetic number, because the mean of its divisors is an integer number (6912675).

Almost surely, 2324140424 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 324140424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442411200).

324140424 is an abundant number, since it is smaller than the sum of its proper divisors (560681976).

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

324140424 is a wasteful number, since it uses less digits than its factorization.

324140424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 324140424 is about 18003.9002441138. The cubic root of 324140424 is about 686.9277567268.

Adding to 324140424 its reverse (424041423), we get a palindrome (748181847).

Subtracting 324140424 from its reverse (424041423), we obtain a palindrome (99900999).

The spelling of 324140424 in words is "three hundred twenty-four million, one hundred forty thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 29 37 41 58 74 82 87 111 116 123 148 164 174 222 232 246 296 307 328 348 444 492 614 696 888 921 984 1073 1189 1228 1517 1842 2146 2378 2456 3034 3219 3567 3684 4292 4551 4756 6068 6438 7134 7368 8584 8903 9102 9512 11359 12136 12587 12876 14268 17806 18204 22718 25174 25752 26709 28536 34077 35612 36408 37761 43993 45436 50348 53418 68154 71224 75522 87986 90872 100696 106836 131979 136308 151044 175972 213672 263958 272616 302088 329411 351944 365023 465719 527916 658822 730046 931438 988233 1055832 1095069 1317644 1397157 1460092 1862876 1976466 2190138 2635288 2794314 2920184 3725752 3952932 4380276 5588628 7905864 8760552 11177256 13505851 27011702 40517553 54023404 81035106 108046808 162070212 324140424