Search a number
-
+
105352344 = 23325032909
BaseRepresentation
bin1100100011110…
…00110010011000
321100020110020200
412101320302120
5203432233334
614242022200
72416323456
oct621706230
9240213220
10105352344
1154517859
122b347960
1318a98a86
14ddc59d6
1593b0799
hex6478c98

105352344 has 48 divisors (see below), whose sum is σ = 285994800. Its totient is φ = 35035584.

The previous prime is 105352343. The next prime is 105352361. The reversal of 105352344 is 443253501.

It is a super-2 number, since 2×1053523442 = 22198232772588672, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105352343) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34762 + ... + 37670.

It is an arithmetic number, because the mean of its divisors is an integer number (5958225).

Almost surely, 2105352344 is an apocalyptic number.

It is an amenable number.

105352344 is an abundant number, since it is smaller than the sum of its proper divisors (180642456).

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

105352344 is a wasteful number, since it uses less digits than its factorization.

105352344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3424 (or 3417 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 105352344 is about 10264.1289937335. The cubic root of 105352344 is about 472.2965076543.

The spelling of 105352344 in words is "one hundred five million, three hundred fifty-two thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 503 1006 1509 2012 2909 3018 4024 4527 5818 6036 8727 9054 11636 12072 17454 18108 23272 26181 34908 36216 52362 69816 104724 209448 1463227 2926454 4389681 5852908 8779362 11705816 13169043 17558724 26338086 35117448 52676172 105352344