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31400200 = 2352132929
BaseRepresentation
bin111011111001…
…0000100001000
32012002021222101
41313302010020
531014301300
63041003144
7530616526
oct167620410
965067871
1031400200
11167a7487
12a6234b4
136675400
144255316
152b53b6a
hex1df2108

31400200 has 72 divisors (see below), whose sum is σ = 79138350. Its totient is φ = 11581440.

The previous prime is 31400189. The next prime is 31400231. The reversal of 31400200 is 200413.

It can be written as a sum of positive squares in 9 ways, for example, as 6260004 + 25140196 = 2502^2 + 5014^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 33336 + ... + 34264.

Almost surely, 231400200 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 31400200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39569175).

31400200 is an abundant number, since it is smaller than the sum of its proper divisors (47738150).

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

31400200 is a wasteful number, since it uses less digits than its factorization.

31400200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 971 (or 949 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 31400200 is about 5603.5881361856. The cubic root of 31400200 is about 315.4840965024.

Adding to 31400200 its reverse (200413), we get a palindrome (31600613).

The spelling of 31400200 in words is "thirty-one million, four hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 169 200 260 325 338 520 650 676 845 929 1300 1352 1690 1858 2600 3380 3716 4225 4645 6760 7432 8450 9290 12077 16900 18580 23225 24154 33800 37160 46450 48308 60385 92900 96616 120770 157001 185800 241540 301925 314002 483080 603850 628004 785005 1207700 1256008 1570010 2415400 3140020 3925025 6280040 7850050 15700100 31400200