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1003340400304 = 24112518254339
BaseRepresentation
bin11101001100110111011…
…11111000011010110000
310112220210111222100020211
432212123233320122300
5112414320120302204
62044532254513504
7132326465454304
oct16463357703260
93486714870224
101003340400304
11357572554100
12142554805894
13737cb354978
14367c1d3bd04
151b174b49804
hexe99bbf86b0

1003340400304 has 30 divisors (see below), whose sum is σ = 2136762643820. Its totient is φ = 456063817440.

The previous prime is 1003340400301. The next prime is 1003340400343. The reversal of 1003340400304 is 4030040433001.

It is a super-4 number, since 4×10033404003044 (a number of 49 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (1003340400301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 259125234 + ... + 259129105.

Almost surely, 21003340400304 is an apocalyptic number.

It is an amenable number.

1003340400304 is an abundant number, since it is smaller than the sum of its proper divisors (1133422243516).

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

1003340400304 is a wasteful number, since it uses less digits than its factorization.

1003340400304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518254369 (or 518254352 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 1003340400304 its reverse (4030040433001), we get a palindrome (5033380833305).

The spelling of 1003340400304 in words is "one trillion, three billion, three hundred forty million, four hundred thousand, three hundred four".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 968 1936 518254339 1036508678 2073017356 4146034712 5700797729 8292069424 11401595458 22803190916 45606381832 62708775019 91212763664 125417550038 250835100076 501670200152 1003340400304