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1243410400 = 25528631801
BaseRepresentation
bin100101000011100…
…1110111111100000
310012122200210102001
41022013032333200
510021303113100
6323214333344
742545546131
oct11207167740
93178623361
101243410400
11588966701
122a84ba254
1316a7b33cb
14bb1cdc88
1574262d6a
hex4a1cefe0

1243410400 has 72 divisors (see below), whose sum is σ = 3040680384. Its totient is φ = 496512000.

The previous prime is 1243410361. The next prime is 1243410431. The reversal of 1243410400 is 40143421.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 689500 + ... + 691300.

It is an arithmetic number, because the mean of its divisors is an integer number (42231672).

Almost surely, 21243410400 is an apocalyptic number.

1243410400 is a gapful number since it is divisible by the number (10) 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 1243410400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1520340192).

1243410400 is an abundant number, since it is smaller than the sum of its proper divisors (1797269984).

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

1243410400 is a wasteful number, since it uses less digits than its factorization.

1243410400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2684 (or 2671 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 1243410400 is about 35262.0248993163. The cubic root of 1243410400 is about 1075.3210939146.

Adding to 1243410400 its reverse (40143421), we get a palindrome (1283553821).

The spelling of 1243410400 in words is "one billion, two hundred forty-three million, four hundred ten thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 863 1726 1801 3452 3602 4315 6904 7204 8630 9005 13808 14408 17260 18010 21575 27616 28816 34520 36020 43150 45025 57632 69040 72040 86300 90050 138080 144080 172600 180100 288160 345200 360200 690400 720400 1440800 1554263 3108526 6217052 7771315 12434104 15542630 24868208 31085260 38856575 49736416 62170520 77713150 124341040 155426300 248682080 310852600 621705200 1243410400