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1344422020 = 2252973113281
BaseRepresentation
bin101000000100010…
…0100000010000100
310110200202201022011
41100020210002010
510223133001040
6341223344004
745213253504
oct12010440204
93420681264
101344422020
1162a989187
123162b2004
131856bc4b6
14ca7a5a04
157d0673ea
hex50224084

1344422020 has 96 divisors (see below), whose sum is σ = 2997479520. Its totient is φ = 505774080.

The previous prime is 1344422011. The next prime is 1344422041. The reversal of 1344422020 is 202244431.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 497379204 + 847042816 = 22302^2 + 29104^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1344421982 and 1344422000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4784280 + ... + 4784560.

It is an arithmetic number, because the mean of its divisors is an integer number (31223745).

Almost surely, 21344422020 is an apocalyptic number.

1344422020 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 1344422020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1498739760).

1344422020 is an abundant number, since it is smaller than the sum of its proper divisors (1653057500).

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

1344422020 is a wasteful number, since it uses less digits than its factorization.

1344422020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 1344422020 is about 36666.3608775128. The cubic root of 1344422020 is about 1103.6851665183.

Adding to 1344422020 its reverse (202244431), we get a palindrome (1546666451).

The spelling of 1344422020 in words is "one billion, three hundred forty-four million, four hundred twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 29 58 73 113 116 145 146 226 281 290 292 365 452 562 565 580 730 1124 1130 1405 1460 2117 2260 2810 3277 4234 5620 6554 8149 8249 8468 10585 13108 16298 16385 16498 20513 21170 31753 32596 32770 32996 40745 41026 41245 42340 63506 65540 81490 82052 82490 102565 127012 158765 162980 164980 205130 239221 317530 410260 478442 594877 635060 920837 956884 1189754 1196105 1841674 2317969 2379508 2392210 2974385 3683348 4604185 4635938 4784420 5948770 9208370 9271876 11589845 11897540 18416740 23179690 46359380 67221101 134442202 268884404 336105505 672211010 1344422020