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326243424 = 25313733581
BaseRepresentation
bin10011011100100…
…001010001100000
3211201212212211210
4103130201101200
51132004242144
652212310120
711041011003
oct2334412140
9751785753
10326243424
11158179571
1291312340
1352788c60
143148553a
151d994ab9
hex13721460

326243424 has 96 divisors (see below), whose sum is σ = 935159904. Its totient is φ = 98979840.

The previous prime is 326243419. The next prime is 326243429. The reversal of 326243424 is 424342623.

It is an interprime number because it is at equal distance from previous prime (326243419) and next prime (326243429).

It is a tau number, because it is divible by the number of its divisors (96).

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 = 326243391 and 326243400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (326243429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89314 + ... + 92894.

It is an arithmetic number, because the mean of its divisors is an integer number (9741249).

Almost surely, 2326243424 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 326243424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467579952).

326243424 is an abundant number, since it is smaller than the sum of its proper divisors (608916480).

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

326243424 is a wasteful number, since it uses less digits than its factorization.

326243424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3680 (or 3672 counting only the distinct ones).

The product of its digits is 27648, while the sum is 30.

The square root of 326243424 is about 18062.2098315793. The cubic root of 326243424 is about 688.4101349436.

The spelling of 326243424 in words is "three hundred twenty-six million, two hundred forty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 73 78 96 104 146 156 208 219 292 312 416 438 584 624 876 949 1168 1248 1752 1898 2336 2847 3504 3581 3796 5694 7008 7162 7592 10743 11388 14324 15184 21486 22776 28648 30368 42972 45552 46553 57296 85944 91104 93106 114592 139659 171888 186212 261413 279318 343776 372424 522826 558636 744848 784239 1045652 1117272 1489696 1568478 2091304 2234544 3136956 3398369 4182608 4469088 6273912 6796738 8365216 10195107 12547824 13593476 20390214 25095648 27186952 40780428 54373904 81560856 108747808 163121712 326243424