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320150230400 = 275271113891123
BaseRepresentation
bin1001010100010100111…
…00001101010110000000
31010121100211010210100202
410222022130031112000
520221131424333100
6403024110304332
732062423025630
oct4521234152600
91117324123322
10320150230400
11113858505680
12520697b80a8
1324261686270
14116d13726c0
1584db7027d5
hex4a8a70d580

320150230400 has 768 divisors, whose sum is σ = 1074756211200. Its totient is φ = 90995097600.

The previous prime is 320150230399. The next prime is 320150230423. The reversal of 320150230400 is 4032051023.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 285084239 + ... + 285085361.

It is an arithmetic number, because the mean of its divisors is an integer number (1399422150).

Almost surely, 2320150230400 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 320150230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537378105600).

320150230400 is an abundant number, since it is smaller than the sum of its proper divisors (754605980800).

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

320150230400 is a wasteful number, since it uses less digits than its factorization.

320150230400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1267 (or 1250 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

Adding to 320150230400 its reverse (4032051023), we get a palindrome (324182281423).

The spelling of 320150230400 in words is "three hundred twenty billion, one hundred fifty million, two hundred thirty thousand, four hundred".