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2043400 = 235217601
BaseRepresentation
bin111110010111000001000
310211211000111
413302320020
51010342100
6111444104
723240302
oct7627010
93754014
102043400
111176267
12826634
13567118
143b2972
152a56ba
hex1f2e08

2043400 has 48 divisors (see below), whose sum is σ = 5038740. Its totient is φ = 768000.

The previous prime is 2043397. The next prime is 2043401. The reversal of 2043400 is 43402.

It can be written as a sum of positive squares in 6 ways, for example, as 1406596 + 636804 = 1186^2 + 798^2 .

It is not an unprimeable number, because it can be changed into a prime (2043401) 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, 3100 + ... + 3700.

22043400 is an apocalyptic number.

2043400 is a gapful number since it is divisible by the number (20) 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 2043400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2519370).

2043400 is an abundant number, since it is smaller than the sum of its proper divisors (2995340).

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

2043400 is a wasteful number, since it uses less digits than its factorization.

2043400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 634 (or 625 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 13.

The square root of 2043400 is about 1429.4754282603. The cubic root of 2043400 is about 126.8969341744.

Adding to 2043400 its reverse (43402), we get a palindrome (2086802).

The spelling of 2043400 in words is "two million, forty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 200 340 425 601 680 850 1202 1700 2404 3005 3400 4808 6010 10217 12020 15025 20434 24040 30050 40868 51085 60100 81736 102170 120200 204340 255425 408680 510850 1021700 2043400