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10213344 = 253311821
BaseRepresentation
bin100110111101…
…011111100000
3201012220002000
4212331133200
510103311334
61002524000
7152545341
oct46753740
921186060
1010213344
115846489
123506600
1321679cb
1414dc0c8
15d6b299
hex9bd7e0

10213344 has 48 divisors (see below), whose sum is σ = 29791440. Its totient is φ = 3404160.

The previous prime is 10213337. The next prime is 10213361. The reversal of 10213344 is 44331201.

10213344 = T271 + T272 + ... + T432.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 5047 + ... + 6774.

It is an arithmetic number, because the mean of its divisors is an integer number (620655).

Almost surely, 210213344 is an apocalyptic number.

It is an amenable number.

10213344 is an abundant number, since it is smaller than the sum of its proper divisors (19578096).

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

10213344 is a wasteful number, since it uses less digits than its factorization.

10213344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11840 (or 11826 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 10213344 is about 3195.8322859625. The cubic root of 10213344 is about 216.9648197692.

Adding to 10213344 its reverse (44331201), we get a palindrome (54544545).

The spelling of 10213344 in words is "ten million, two hundred thirteen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 11821 23642 35463 47284 70926 94568 106389 141852 189136 212778 283704 319167 378272 425556 567408 638334 851112 1134816 1276668 1702224 2553336 3404448 5106672 10213344