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671400 = 233252373
BaseRepresentation
bin10100011111010101000
31021002222200
42203322220
5132441100
622220200
75464302
oct2437250
91232880
10671400
11419484
12284660
131a67a2
14136972
15d3e00
hexa3ea8

671400 has 72 divisors (see below), whose sum is σ = 2260830. Its totient is φ = 178560.

The previous prime is 671383. The next prime is 671401. The reversal of 671400 is 4176.

671400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 509796 + 161604 = 714^2 + 402^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (671401) by changing a digit.

671400 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 17 ways as a sum of consecutive naturals, for example, 1614 + ... + 1986.

2671400 is an apocalyptic number.

671400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 671400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1130415).

671400 is an abundant number, since it is smaller than the sum of its proper divisors (1589430).

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

671400 is a wasteful number, since it uses less digits than its factorization.

671400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 671400 is about 819.3900170249. The cubic root of 671400 is about 87.5643064691.

Adding to 671400 its reverse (4176), we get a palindrome (675576).

The spelling of 671400 in words is "six hundred seventy-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 373 450 600 746 900 1119 1492 1800 1865 2238 2984 3357 3730 4476 5595 6714 7460 8952 9325 11190 13428 14920 16785 18650 22380 26856 27975 33570 37300 44760 55950 67140 74600 83925 111900 134280 167850 223800 335700 671400