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10343904 = 2531953107
BaseRepresentation
bin100111011101…
…010111100000
3201110112011120
4213131113200
510122001104
61005412240
7153631104
oct47352740
921415146
1010343904
11592558a
12356a080
1321b226c
141533904
15d94cd9
hex9dd5e0

10343904 has 96 divisors (see below), whose sum is σ = 29393280. Its totient is φ = 3174912.

The previous prime is 10343903. The next prime is 10343909. The reversal of 10343904 is 40934301.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×103439042 = 213992699922432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10343903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96619 + ... + 96725.

It is an arithmetic number, because the mean of its divisors is an integer number (306180).

Almost surely, 210343904 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 10343904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14696640).

10343904 is an abundant number, since it is smaller than the sum of its proper divisors (19049376).

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

10343904 is a wasteful number, since it uses less digits than its factorization.

10343904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 10343904 is about 3216.1940239979. The cubic root of 10343904 is about 217.8854151916.

The spelling of 10343904 in words is "ten million, three hundred forty-three thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 53 57 76 96 106 107 114 152 159 212 214 228 304 318 321 424 428 456 608 636 642 848 856 912 1007 1272 1284 1696 1712 1824 2014 2033 2544 2568 3021 3424 4028 4066 5088 5136 5671 6042 6099 8056 8132 10272 11342 12084 12198 16112 16264 17013 22684 24168 24396 32224 32528 34026 45368 48336 48792 65056 68052 90736 96672 97584 107749 136104 181472 195168 215498 272208 323247 430996 544416 646494 861992 1292988 1723984 2585976 3447968 5171952 10343904