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4341250152 = 23321714532441
BaseRepresentation
bin1000000101100001…
…00011100001101000
3102012112211100122200
410002300203201220
532342330001102
61554440020200
7212403005661
oct40260434150
912175740580
104341250152
111928582548
12a11a61660
13542533095
142d27c4368
151a61d151c
hex102c23868

4341250152 has 96 divisors (see below), whose sum is σ = 12462844680. Its totient is φ = 1360465920.

The previous prime is 4341250141. The next prime is 4341250171. The reversal of 4341250152 is 2510521434.

It can be written as a sum of positive squares in 4 ways, for example, as 4223180196 + 118069956 = 64986^2 + 10866^2 .

It is an unprimeable number.

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, 1777252 + ... + 1779692.

Almost surely, 24341250152 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 4341250152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6231422340).

4341250152 is an abundant number, since it is smaller than the sum of its proper divisors (8121594528).

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

4341250152 is a wasteful number, since it uses less digits than its factorization.

4341250152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3923 (or 3916 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 4341250152 is about 65888.1639750267. The cubic root of 4341250152 is about 1631.3166563153.

Adding to 4341250152 its reverse (2510521434), we get a palindrome (6851771586).

The spelling of 4341250152 in words is "four billion, three hundred forty-one million, two hundred fifty thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 612 1224 1453 2441 2906 4359 4882 5812 7323 8718 9764 11624 13077 14646 17436 19528 21969 24701 26154 29292 34872 41497 43938 49402 52308 58584 74103 82994 87876 98804 104616 124491 148206 165988 175752 197608 222309 248982 296412 331976 373473 444618 497964 592824 746946 889236 995928 1493892 1778472 2987784 3546773 7093546 10640319 14187092 21280638 28374184 31920957 42561276 60295141 63841914 85122552 120590282 127683828 180885423 241180564 255367656 361770846 482361128 542656269 723541692 1085312538 1447083384 2170625076 4341250152