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1422601344 = 27321724273
BaseRepresentation
bin101010011001011…
…0010110010000000
310200010212122011200
41110302302302000
510403141220334
6353055141200
750152624533
oct12462626200
93603778150
101422601344
1167002649a
12338514800
13198962c58
14d6d16a1a
1584d5b799
hex54cb2c80

1422601344 has 144 divisors (see below), whose sum is σ = 4349671170. Its totient is φ = 446201856.

The previous prime is 1422601343. The next prime is 1422601363. The reversal of 1422601344 is 4431062241.

It is a happy number.

1422601344 is a `hidden beast` number, since 1 + 4 + 22 + 601 + 34 + 4 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1357185600 + 65415744 = 36840^2 + 8088^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (1422601343) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 330792 + ... + 335064.

Almost surely, 21422601344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1422601344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2174835585).

1422601344 is an abundant number, since it is smaller than the sum of its proper divisors (2927069826).

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

1422601344 is a wasteful number, since it uses less digits than its factorization.

1422601344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4327 (or 4295 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 1422601344 is about 37717.3878204735. The cubic root of 1422601344 is about 1124.6768043448.

Adding to 1422601344 its reverse (4431062241), we get a palindrome (5853663585).

The spelling of 1422601344 in words is "one billion, four hundred twenty-two million, six hundred one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 128 136 144 153 192 204 272 288 289 306 384 408 544 576 578 612 816 867 1088 1152 1156 1224 1632 1734 2176 2312 2448 2601 3264 3468 4273 4624 4896 5202 6528 6936 8546 9248 9792 10404 12819 13872 17092 18496 19584 20808 25638 27744 34184 36992 38457 41616 51276 55488 68368 72641 76914 83232 102552 110976 136736 145282 153828 166464 205104 217923 273472 290564 307656 332928 410208 435846 546944 581128 615312 653769 820416 871692 1162256 1230624 1234897 1307538 1640832 1743384 2324512 2461248 2469794 2615076 3486768 3704691 4649024 4922496 4939588 5230152 6973536 7409382 9298048 9879176 10460304 11114073 13947072 14818764 19758352 20920608 22228146 27894144 29637528 39516704 41841216 44456292 59275056 79033408 83682432 88912584 118550112 158066816 177825168 237100224 355650336 474200448 711300672 1422601344