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4348229688 = 2334112712251
BaseRepresentation
bin1000000110010110…
…01011100000111000
3102020000221221210000
410003023023200320
532401121322223
61555245353000
7212516225325
oct40313134070
912200857700
104348229688
11193150a360
12a14268760
13543b07b9a
142d36bdb4c
151a6b0e543
hex1032cb838

4348229688 has 160 divisors (see below), whose sum is σ = 13341208320. Its totient is φ = 1312200000.

The previous prime is 4348229681. The next prime is 4348229707. The reversal of 4348229688 is 8869228434.

4348229688 is a `hidden beast` number, since 4 + 348 + 2 + 296 + 8 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4348229681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1930563 + ... + 1932813.

It is an arithmetic number, because the mean of its divisors is an integer number (83382552).

Almost surely, 24348229688 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 4348229688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6670604160).

4348229688 is an abundant number, since it is smaller than the sum of its proper divisors (8992978632).

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

4348229688 is a wasteful number, since it uses less digits than its factorization.

4348229688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2551 (or 2538 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 54.

The square root of 4348229688 is about 65941.1077249996. The cubic root of 4348229688 is about 1632.1904243632.

The spelling of 4348229688 in words is "four billion, three hundred forty-eight million, two hundred twenty-nine thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 81 88 99 108 132 162 198 216 264 271 297 324 396 542 594 648 792 813 891 1084 1188 1626 1782 2168 2251 2376 2439 2981 3252 3564 4502 4878 5962 6504 6753 7128 7317 8943 9004 9756 11924 13506 14634 17886 18008 19512 20259 21951 23848 24761 26829 27012 29268 35772 40518 43902 49522 53658 54024 58536 60777 71544 74283 80487 81036 87804 99044 107316 121554 148566 160974 162072 175608 182331 198088 214632 222849 241461 243108 297132 321948 364662 445698 482922 486216 594264 610021 643896 668547 729324 891396 965844 1220042 1337094 1458648 1782792 1830063 1931688 2005641 2440084 2674188 3660126 4011282 4880168 5348376 5490189 6710231 7320252 8022564 10980378 13420462 14640504 16045128 16470567 20130693 21960756 26840924 32941134 40261386 43921512 49411701 53681848 60392079 65882268 80522772 98823402 120784158 131764536 161045544 181176237 197646804 241568316 362352474 395293608 483136632 543528711 724704948 1087057422 1449409896 2174114844 4348229688