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10051344 = 243353439
BaseRepresentation
bin100110010101…
…111100010000
3200220122212000
4212111330100
510033120334
6555234000
7151302132
oct46257420
920818760
1010051344
1157457a6
123448900
13210c054
141499052
15d38299
hex995f10

10051344 has 80 divisors (see below), whose sum is σ = 29462400. Its totient is φ = 3279744.

The previous prime is 10051339. The next prime is 10051367. The reversal of 10051344 is 44315001.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22677 + ... + 23115.

It is an arithmetic number, because the mean of its divisors is an integer number (368280).

Almost surely, 210051344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10051344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14731200).

10051344 is an abundant number, since it is smaller than the sum of its proper divisors (19411056).

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

10051344 is a wasteful number, since it uses less digits than its factorization.

10051344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 10051344 is about 3170.3854655231. The cubic root of 10051344 is about 215.8115640535.

Adding to 10051344 its reverse (44315001), we get a palindrome (54366345).

The spelling of 10051344 in words is "ten million, fifty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 53 54 72 106 108 144 159 212 216 318 424 432 439 477 636 848 878 954 1272 1317 1431 1756 1908 2544 2634 2862 3512 3816 3951 5268 5724 7024 7632 7902 10536 11448 11853 15804 21072 22896 23267 23706 31608 46534 47412 63216 69801 93068 94824 139602 186136 189648 209403 279204 372272 418806 558408 628209 837612 1116816 1256418 1675224 2512836 3350448 5025672 10051344