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105350328 = 2333487733
BaseRepresentation
bin1100100011110…
…00010010111000
321100020100111000
412101320102320
5203432202303
614242005000
72416314546
oct621702270
9240210430
10105350328
1154516296
122b346760
1318a97b95
14ddc4d96
1593aeda3
hex64784b8

105350328 has 32 divisors (see below), whose sum is σ = 292640400. Its totient is φ = 35116704.

The previous prime is 105350321. The next prime is 105350339. The reversal of 105350328 is 823053501.

It is a super-2 number, since 2×1053503282 = 22197383219415168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105350321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 243651 + ... + 244082.

Almost surely, 2105350328 is an apocalyptic number.

105350328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

105350328 is an abundant number, since it is smaller than the sum of its proper divisors (187290072).

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

105350328 is a wasteful number, since it uses less digits than its factorization.

105350328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487748 (or 487738 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 105350328 is about 10264.0307871713. The cubic root of 105350328 is about 472.2934950466.

The spelling of 105350328 in words is "one hundred five million, three hundred fifty thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 487733 975466 1463199 1950932 2926398 3901864 4389597 5852796 8779194 11705592 13168791 17558388 26337582 35116776 52675164 105350328