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10497344 = 2611133137
BaseRepresentation
bin101000000010…
…110101000000
3201202022122112
4220002311000
510141403334
61012554452
7155140334
oct50026500
921668575
1010497344
115a1a8a0
123622a28
132237060
1415737c4
15dc54ce
hexa02d40

10497344 has 112 divisors (see below), whose sum is σ = 25944576. Its totient is φ = 4147200.

The previous prime is 10497337. The next prime is 10497371. The reversal of 10497344 is 44379401.

It is a happy number.

It is a super-2 number, since 2×104973442 = 220388462108672, which contains 22 as substring.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 10497344.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 283694 + ... + 283730.

It is an arithmetic number, because the mean of its divisors is an integer number (231648).

Almost surely, 210497344 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 10497344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12972288).

10497344 is an abundant number, since it is smaller than the sum of its proper divisors (15447232).

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

10497344 is a wasteful number, since it uses less digits than its factorization.

10497344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The square root of 10497344 is about 3239.9604935863. The cubic root of 10497344 is about 218.9574919408.

The spelling of 10497344 in words is "ten million, four hundred ninety-seven thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 13 16 22 26 31 32 37 44 52 62 64 74 88 104 124 143 148 176 208 248 286 296 341 352 403 407 416 481 496 572 592 682 704 806 814 832 962 992 1144 1147 1184 1364 1612 1628 1924 1984 2288 2294 2368 2728 3224 3256 3848 4433 4576 4588 5291 5456 6448 6512 7696 8866 9152 9176 10582 10912 12617 12896 13024 14911 15392 17732 18352 21164 21824 25234 25792 26048 29822 30784 35464 36704 42328 50468 59644 70928 73408 84656 100936 119288 141856 164021 169312 201872 238576 283712 328042 338624 403744 477152 656084 807488 954304 1312168 2624336 5248672 10497344