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106214346 = 23273722783
BaseRepresentation
bin1100101010010…
…11001111001010
321101212020200200
412111023033022
5204142324341
614312313030
72426543550
oct625131712
9241766620
10106214346
1154a56457
122b6a2776
131900b234
141016bbd0
1594d0db6
hex654b3ca

106214346 has 48 divisors (see below), whose sum is σ = 270127104. Its totient is φ = 29525472.

The previous prime is 106214333. The next prime is 106214357. The reversal of 106214346 is 643412601.

106214346 is a `hidden beast` number, since 1 + 0 + 621 + 4 + 34 + 6 = 666.

It is a super-2 number, since 2×1062143462 = 22562974592415432, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6730 + ... + 16053.

It is an arithmetic number, because the mean of its divisors is an integer number (5627648).

Almost surely, 2106214346 is an apocalyptic number.

106214346 is an abundant number, since it is smaller than the sum of its proper divisors (163912758).

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

106214346 is a wasteful number, since it uses less digits than its factorization.

106214346 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22835 (or 22832 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 106214346 is about 10306.0344458962. The cubic root of 106214346 is about 473.5811339965.

Adding to 106214346 its reverse (643412601), we get a palindrome (749626947).

The spelling of 106214346 in words is "one hundred six million, two hundred fourteen thousand, three hundred forty-six".

Divisors: 1 2 3 6 7 9 14 18 21 37 42 63 74 111 126 222 259 333 518 666 777 1554 2331 4662 22783 45566 68349 136698 159481 205047 318962 410094 478443 842971 956886 1435329 1685942 2528913 2870658 5057826 5900797 7586739 11801594 15173478 17702391 35404782 53107173 106214346