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4322034144 = 2532235911059
BaseRepresentation
bin1000000011001110…
…10000000111100000
3102011012200002020200
410001213100013200
532322420043034
61552512105200
7212050453431
oct40147200740
912135602220
104322034144
11191874824a
12a07535200
1353b56576c
142d0021488
151a4687a99
hex1019d01e0

4322034144 has 144 divisors (see below), whose sum is σ = 13043721600. Its totient is φ = 1354560768.

The previous prime is 4322034133. The next prime is 4322034149. The reversal of 4322034144 is 4414302234.

It is a happy number.

4322034144 is a `hidden beast` number, since 43 + 2 + 203 + 414 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4322034149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 385287 + ... + 396345.

It is an arithmetic number, because the mean of its divisors is an integer number (90581400).

Almost surely, 24322034144 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 4322034144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6521860800).

4322034144 is an abundant number, since it is smaller than the sum of its proper divisors (8721687456).

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

4322034144 is a wasteful number, since it uses less digits than its factorization.

4322034144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11157 (or 11146 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 4322034144 is about 65742.1793371653. The cubic root of 4322034144 is about 1628.9061556006.

Adding to 4322034144 its reverse (4414302234), we get a palindrome (8736336378).

The spelling of 4322034144 in words is "four billion, three hundred twenty-two million, thirty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 59 69 72 92 96 118 138 144 177 184 207 236 276 288 354 368 414 472 531 552 708 736 828 944 1062 1104 1357 1416 1656 1888 2124 2208 2714 2832 3312 4071 4248 5428 5664 6624 8142 8496 10856 11059 12213 16284 16992 21712 22118 24426 32568 33177 43424 44236 48852 65136 66354 88472 97704 99531 130272 132708 176944 195408 199062 254357 265416 353888 390816 398124 508714 530832 652481 763071 796248 1017428 1061664 1304962 1526142 1592496 1957443 2034856 2289213 2609924 3052284 3184992 3914886 4069712 4578426 5219848 5872329 6104568 7829772 8139424 9156852 10439696 11744658 12209136 15007063 15659544 18313704 20879392 23489316 24418272 30014126 31319088 36627408 45021189 46978632 60028252 62638176 73254816 90042378 93957264 120056504 135063567 180084756 187914528 240113008 270127134 360169512 480226016 540254268 720339024 1080508536 1440678048 2161017072 4322034144