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1338894000 = 24325374383
BaseRepresentation
bin100111111001101…
…1110011010110000
310110022100212021200
41033303132122300
510220224102000
6340505051200
745115261023
oct11763363260
93408325250
101338894000
11627852974
12314486b00
13184505292
14c9b671ba
157c824500
hex4fcde6b0

1338894000 has 120 divisors (see below), whose sum is σ = 4676373312. Its totient is φ = 357033600.

The previous prime is 1338893993. The next prime is 1338894019. The reversal of 1338894000 is 4988331.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 19192 + ... + 55191.

Almost surely, 21338894000 is an apocalyptic number.

1338894000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1338894000 is an abundant number, since it is smaller than the sum of its proper divisors (3337479312).

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

1338894000 is a wasteful number, since it uses less digits than its factorization.

1338894000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74412 (or 74393 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1338894000 is about 36590.9005081865. The cubic root of 1338894000 is about 1102.1703705507.

The spelling of 1338894000 in words is "one billion, three hundred thirty-eight million, eight hundred ninety-four thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 125 144 150 180 200 225 240 250 300 360 375 400 450 500 600 720 750 900 1000 1125 1200 1500 1800 2000 2250 3000 3600 4500 6000 9000 18000 74383 148766 223149 297532 371915 446298 595064 669447 743830 892596 1115745 1190128 1338894 1487660 1785192 1859575 2231490 2677788 2975320 3347235 3570384 3719150 4462980 5355576 5578725 5950640 6694470 7438300 8925960 9297875 10711152 11157450 13388940 14876600 16736175 17851920 18595750 22314900 26777880 27893625 29753200 33472350 37191500 44629800 53555760 55787250 66944700 74383000 83680875 89259600 111574500 133889400 148766000 167361750 223149000 267778800 334723500 446298000 669447000 1338894000