Search a number
-
+
3801400 = 235283229
BaseRepresentation
bin1110100000000100111000
321011010112121
432200010320
51433121100
6213251024
744211541
oct16400470
97133477
103801400
112167059
121333a74
13a31365
1470d4c8
1550151a
hex3a0138

3801400 has 48 divisors (see below), whose sum is σ = 8983800. Its totient is φ = 1495680.

The previous prime is 3801377. The next prime is 3801403. The reversal of 3801400 is 41083.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3801403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16486 + ... + 16714.

Almost surely, 23801400 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 3801400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4491900).

3801400 is an abundant number, since it is smaller than the sum of its proper divisors (5182400).

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

3801400 is a wasteful number, since it uses less digits than its factorization.

3801400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 3801400 is about 1949.7179283168. The cubic root of 3801400 is about 156.0682366393.

Adding to 3801400 its reverse (41083), we get a palindrome (3842483).

The spelling of 3801400 in words is "three million, eight hundred one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 83 100 166 200 229 332 415 458 664 830 916 1145 1660 1832 2075 2290 3320 4150 4580 5725 8300 9160 11450 16600 19007 22900 38014 45800 76028 95035 152056 190070 380140 475175 760280 950350 1900700 3801400