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321404223224340 = 223552931245718119
BaseRepresentation
bin100100100010100001100000…
…0100011011111101000010100
31120010222221110221010220200000
41021011003000203133220110
5314111341322121134330
63055323021203251300
7124461455162131314
oct11105030043375024
91503887427126600
10321404223224340
11934558470237a3
123006a360079b30
1310a45399240319
14595209411d444
1527256dc4c0560
hex12450c08dfa14

321404223224340 has 288 divisors, whose sum is σ = 1014622582821120. Its totient is φ = 85403704237056.

The previous prime is 321404223224333. The next prime is 321404223224389. The reversal of 321404223224340 is 43422322404123.

321404223224340 is a `hidden beast` number, since 3 + 2 + 1 + 4 + 0 + 422 + 3 + 224 + 3 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 321404223224295 and 321404223224304.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 17738509801 + ... + 17738527919.

It is an arithmetic number, because the mean of its divisors is an integer number (3522995079240).

Almost surely, 2321404223224340 is an apocalyptic number.

321404223224340 is a gapful number since it is divisible by the number (30) 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 321404223224340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507311291410560).

321404223224340 is an abundant number, since it is smaller than the sum of its proper divisors (693218359596780).

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

321404223224340 is a wasteful number, since it uses less digits than its factorization.

321404223224340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30893 (or 30879 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 321404223224340 its reverse (43422322404123), we get a palindrome (364826545628463).

The spelling of 321404223224340 in words is "three hundred twenty-one trillion, four hundred four billion, two hundred twenty-three million, two hundred twenty-four thousand, three hundred forty".