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385103800 = 235216311813
BaseRepresentation
bin10110111101000…
…011011110111000
3222211122022002201
4112331003132320
51242041310200
6102114035544
712354220414
oct2675033670
9884568081
10385103800
11188421204
12a8b78bb4
1361a27293
1439207d44
1523c1ec6a
hex16f437b8

385103800 has 48 divisors (see below), whose sum is σ = 900935640. Its totient is φ = 153083520.

The previous prime is 385103791. The next prime is 385103813. The reversal of 385103800 is 8301583.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26694 + ... + 38506.

Almost surely, 2385103800 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 385103800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450467820).

385103800 is an abundant number, since it is smaller than the sum of its proper divisors (515831840).

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

385103800 is a wasteful number, since it uses less digits than its factorization.

385103800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11992 (or 11983 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 385103800 is about 19624.0617610117. The cubic root of 385103800 is about 727.5440076038.

The spelling of 385103800 in words is "three hundred eighty-five million, one hundred three thousand, eight hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 163 200 326 652 815 1304 1630 3260 4075 6520 8150 11813 16300 23626 32600 47252 59065 94504 118130 236260 295325 472520 590650 1181300 1925519 2362600 3851038 7702076 9627595 15404152 19255190 38510380 48137975 77020760 96275950 192551900 385103800