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1400344000 = 26531115913
BaseRepresentation
bin101001101110111…
…1000110111000000
310121120222211211121
41103131320313000
510331442002000
6350542122024
746462504366
oct12335706700
93546884747
101400344000
116595041a0
12330b80314
1319416c223
14d3da1636
1582e11b1a
hex53778dc0

1400344000 has 112 divisors (see below), whose sum is σ = 3783458016. Its totient is φ = 509184000.

The previous prime is 1400343979. The next prime is 1400344007. The reversal of 1400344000 is 4430041.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1400344007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80044 + ... + 95956.

Almost surely, 21400344000 is an apocalyptic number.

1400344000 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 1400344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1891729008).

1400344000 is an abundant number, since it is smaller than the sum of its proper divisors (2383114016).

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

1400344000 is a wasteful number, since it uses less digits than its factorization.

1400344000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15951 (or 15931 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 1400344000 is about 37421.1704787544. The cubic root of 1400344000 is about 1118.7805605293.

Adding to 1400344000 its reverse (4430041), we get a palindrome (1404774041).

The spelling of 1400344000 in words is "one billion, four hundred million, three hundred forty-four thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 125 160 176 200 220 250 275 320 352 400 440 500 550 704 800 880 1000 1100 1375 1600 1760 2000 2200 2750 3520 4000 4400 5500 8000 8800 11000 15913 17600 22000 31826 44000 63652 79565 88000 127304 159130 175043 254608 318260 350086 397825 509216 636520 700172 795650 875215 1018432 1273040 1400344 1591300 1750430 1989125 2546080 2800688 3182600 3500860 3978250 4376075 5092160 5601376 6365200 7001720 7956500 8752150 11202752 12730400 14003440 15913000 17504300 21880375 25460800 28006880 31826000 35008600 43760750 56013760 63652000 70017200 87521500 127304000 140034400 175043000 280068800 350086000 700172000 1400344000