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301400 = 235211137
BaseRepresentation
bin1001001100101011000
3120022102222
41021211120
534121100
610243212
72363501
oct1114530
9508388
10301400
111964a0
12126508
13a7258
147bba8
155e485
hex49958

301400 has 48 divisors (see below), whose sum is σ = 770040. Its totient is φ = 108800.

The previous prime is 301381. The next prime is 301403. The reversal of 301400 is 4103.

It is a Cunningham number, because it is equal to 5492-1.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (301403) by changing a digit.

301400 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2132 + ... + 2268.

2301400 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 301400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385020).

301400 is an abundant number, since it is smaller than the sum of its proper divisors (468640).

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

301400 is a wasteful number, since it uses less digits than its factorization.

301400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 301400 is about 548.9990892524. Note that the first 3 decimals coincide. The cubic root of 301400 is about 67.0472674551.

Adding to 301400 its reverse (4103), we get a palindrome (305503).

The spelling of 301400 in words is "three hundred one thousand, four hundred", and thus it is an iban number.