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345125425300 = 225241439191747
BaseRepresentation
bin1010000010110110001…
…01000001000010010100
31012222211101101010222021
411001123011001002110
521123304102102200
6422314243342524
733635346466135
oct5013305010224
91188741333867
10345125425300
1112340433a217
1256a79981a44
1326711a161b6
14129c02ddc8c
158e9e12541a
hex505b141094

345125425300 has 72 divisors (see below), whose sum is σ = 768940159680. Its totient is φ = 134375596800.

The previous prime is 345125425291. The next prime is 345125425303. The reversal of 345125425300 is 3524521543.

It is a super-2 number, since 2×3451254253002 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345125425303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1704027 + ... + 1895773.

It is an arithmetic number, because the mean of its divisors is an integer number (10679724440).

Almost surely, 2345125425300 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 345125425300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384470079840).

345125425300 is an abundant number, since it is smaller than the sum of its proper divisors (423814734380).

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

345125425300 is a wasteful number, since it uses less digits than its factorization.

345125425300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192241 (or 192234 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 34.

Adding to 345125425300 its reverse (3524521543), we get a palindrome (348649946843).

The spelling of 345125425300 in words is "three hundred forty-five billion, one hundred twenty-five million, four hundred twenty-five thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 164 205 410 439 820 878 1025 1756 2050 2195 4100 4390 8780 10975 17999 21950 35998 43900 71996 89995 179990 191747 359980 383494 449975 766988 899950 958735 1799900 1917470 3834940 4793675 7861627 9587350 15723254 19174700 31446508 39308135 78616270 84176933 157232540 168353866 196540675 336707732 393081350 420884665 786162700 841769330 1683538660 2104423325 3451254253 4208846650 6902508506 8417693300 13805017012 17256271265 34512542530 69025085060 86281356325 172562712650 345125425300