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10393344 = 283213347
BaseRepresentation
bin100111101001…
…011100000000
3201120000222200
4213221130000
510130041334
61010433200
7154225203
oct47513400
921500880
1010393344
115959745
123592800
1321cb910
14154793a
15da4799
hex9e9700

10393344 has 108 divisors (see below), whose sum is σ = 32364696. Its totient is φ = 3188736.

The previous prime is 10393303. The next prime is 10393349. The reversal of 10393344 is 44339301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10393349) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29779 + ... + 30125.

Almost surely, 210393344 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 10393344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16182348).

10393344 is an abundant number, since it is smaller than the sum of its proper divisors (21971352).

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

10393344 is a wasteful number, since it uses less digits than its factorization.

10393344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 10393344 is about 3223.8709651597. The cubic root of 10393344 is about 218.2320005782.

The spelling of 10393344 in words is "ten million, three hundred ninety-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 256 288 312 347 384 416 468 576 624 694 768 832 936 1041 1152 1248 1388 1664 1872 2082 2304 2496 2776 3123 3328 3744 4164 4511 4992 5552 6246 7488 8328 9022 9984 11104 12492 13533 14976 16656 18044 22208 24984 27066 29952 33312 36088 40599 44416 49968 54132 66624 72176 81198 88832 99936 108264 133248 144352 162396 199872 216528 266496 288704 324792 399744 433056 577408 649584 799488 866112 1154816 1299168 1732224 2598336 3464448 5196672 10393344