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1299344220 = 223356473719
BaseRepresentation
bin100110101110010…
…0110101101011100
310100112221112012000
41031130212231130
510130113003340
6332533242300
744125146366
oct11534465534
93315845160
101299344220
1160749a5a9
12303193390
13179268645
14c47cdd36
1579110d30
hex4d726b5c

1299344220 has 96 divisors (see below), whose sum is σ = 4049740800. Its totient is φ = 345863232.

The previous prime is 1299344209. The next prime is 1299344227. The reversal of 1299344220 is 224439921.

1299344220 is a `hidden beast` number, since 1 + 2 + 99 + 344 + 220 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1299344227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 347521 + ... + 351239.

It is an arithmetic number, because the mean of its divisors is an integer number (42184800).

Almost surely, 21299344220 is an apocalyptic number.

1299344220 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 1299344220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2024870400).

1299344220 is an abundant number, since it is smaller than the sum of its proper divisors (2750396580).

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

1299344220 is a wasteful number, since it uses less digits than its factorization.

1299344220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4384 (or 4376 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 1299344220 is about 36046.4175751211. The cubic root of 1299344220 is about 1091.2093358804.

The spelling of 1299344220 in words is "one billion, two hundred ninety-nine million, three hundred forty-four thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 647 1294 1941 2588 3235 3719 3882 5823 6470 7438 7764 9705 11157 11646 12940 14876 17469 18595 19410 22314 23292 29115 33471 34938 37190 38820 44628 55785 58230 66942 69876 74380 87345 100413 111570 116460 133884 167355 174690 200826 223140 334710 349380 401652 502065 669420 1004130 2008260 2406193 4812386 7218579 9624772 12030965 14437158 21655737 24061930 28874316 36092895 43311474 48123860 64967211 72185790 86622948 108278685 129934422 144371580 216557370 259868844 324836055 433114740 649672110 1299344220