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1344422100 = 2235271374673
BaseRepresentation
bin101000000100010…
…0100000011010100
310110200202201102010
41100020210003110
510223133001400
6341223344220
745213253650
oct12010440324
93420681363
101344422100
1162a98924a
123162b2070
131856bc548
14ca7a5a60
157d067450
hex502240d4

1344422100 has 144 divisors (see below), whose sum is σ = 4478963328. Its totient is φ = 304988160.

The previous prime is 1344422089. The next prime is 1344422111. The reversal of 1344422100 is 12244431.

It is an interprime number because it is at equal distance from previous prime (1344422089) and next prime (1344422111).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 285364 + ... + 290036.

It is an arithmetic number, because the mean of its divisors is an integer number (31103912).

Almost surely, 21344422100 is an apocalyptic number.

1344422100 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 1344422100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2239481664).

1344422100 is an abundant number, since it is smaller than the sum of its proper divisors (3134541228).

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

1344422100 is a wasteful number, since it uses less digits than its factorization.

1344422100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4834 (or 4827 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 1344422100 is about 36666.3619684310. The cubic root of 1344422100 is about 1103.6851884099.

Adding to 1344422100 its reverse (12244431), we get a palindrome (1356666531).

The spelling of 1344422100 in words is "one billion, three hundred forty-four million, four hundred twenty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 137 140 150 175 210 274 300 350 411 420 525 548 685 700 822 959 1050 1370 1644 1918 2055 2100 2740 2877 3425 3836 4110 4673 4795 5754 6850 8220 9346 9590 10275 11508 13700 14019 14385 18692 19180 20550 23365 23975 28038 28770 32711 41100 46730 47950 56076 57540 65422 70095 71925 93460 95900 98133 116825 130844 140190 143850 163555 196266 233650 280380 287700 327110 350475 392532 467300 490665 640201 654220 700950 817775 981330 1280402 1401900 1635550 1920603 1962660 2453325 2560804 3201005 3271100 3841206 4481407 4906650 6402010 7682412 8962814 9603015 9813300 12804020 13444221 16005025 17925628 19206030 22407035 26888442 32010050 38412060 44814070 48015075 53776884 64020100 67221105 89628140 96030150 112035175 134442210 192060300 224070350 268884420 336105525 448140700 672211050 1344422100