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1344403400 = 235261263419
BaseRepresentation
bin101000000100001…
…1111011111001000
310110200201202202112
41100020133133020
510223131402100
6341223121452
745213145304
oct12010373710
93420652675
101344403400
1162a97619a
123162a3288
131856b3b92
14ca79cd04
157d061b35
hex5021f7c8

1344403400 has 96 divisors (see below), whose sum is σ = 3196670400. Its totient is φ = 525676800.

The previous prime is 1344403397. The next prime is 1344403447. The reversal of 1344403400 is 43044431.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3208391 + ... + 3208809.

It is an arithmetic number, because the mean of its divisors is an integer number (33298650).

Almost surely, 21344403400 is an apocalyptic number.

1344403400 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 1344403400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1598335200).

1344403400 is an abundant number, since it is smaller than the sum of its proper divisors (1852267000).

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

1344403400 is a wasteful number, since it uses less digits than its factorization.

1344403400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 759 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

The square root of 1344403400 is about 36666.1069654252. The cubic root of 1344403400 is about 1103.6800712153.

Adding to 1344403400 its reverse (43044431), we get a palindrome (1387447831).

The spelling of 1344403400 in words is "one billion, three hundred forty-four million, four hundred three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 61 100 122 200 244 263 305 419 488 526 610 838 1052 1220 1315 1525 1676 2095 2104 2440 2630 3050 3352 4190 5260 6100 6575 8380 10475 10520 12200 13150 16043 16760 20950 25559 26300 32086 41900 51118 52600 64172 80215 83800 102236 110197 127795 128344 160430 204472 220394 255590 320860 401075 440788 511180 550985 638975 641720 802150 881576 1022360 1101970 1277950 1604300 2203940 2555900 2754925 3208600 4407880 5111800 5509850 6722017 11019700 13444034 22039400 26888068 33610085 53776136 67220170 134440340 168050425 268880680 336100850 672201700 1344403400