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105344344 = 2372278287
BaseRepresentation
bin1100100011101…
…10110101011000
321100020001021101
412101312311120
5203432004334
614241521144
72416261240
oct621666530
9240201241
10105344344
1154511846
122b3431b4
1318a95241
14ddc2b20
1593ad214
hex6476d58

105344344 has 32 divisors (see below), whose sum is σ = 226759680. Its totient is φ = 44943264.

The previous prime is 105344339. The next prime is 105344357. The reversal of 105344344 is 443443501.

It is a super-2 number, since 2×1053443442 = 22194861625580672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8569 + ... + 16855.

It is an arithmetic number, because the mean of its divisors is an integer number (7086240).

Almost surely, 2105344344 is an apocalyptic number.

105344344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

105344344 is an abundant number, since it is smaller than the sum of its proper divisors (121415336).

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

105344344 is a wasteful number, since it uses less digits than its factorization.

105344344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8527 (or 8523 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 28.

The square root of 105344344 is about 10263.7392796193. The cubic root of 105344344 is about 472.2845526357.

Adding to 105344344 its reverse (443443501), we get a palindrome (548787845).

It can be divided in two parts, 10534 and 4344, that added together give a triangular number (14878 = T172).

The spelling of 105344344 in words is "one hundred five million, three hundred forty-four thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 28 56 227 454 908 1589 1816 3178 6356 8287 12712 16574 33148 58009 66296 116018 232036 464072 1881149 3762298 7524596 13168043 15049192 26336086 52672172 105344344