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10343328 = 253163661
BaseRepresentation
bin100111011101…
…001110100000
3201110111101020
4213131032200
510121441303
61005405440
7153626322
oct47351640
921414336
1010343328
115925106
123569880
1321b1c18
141533612
15d94a53
hex9dd3a0

10343328 has 48 divisors (see below), whose sum is σ = 27359136. Its totient is φ = 3421440.

The previous prime is 10343323. The next prime is 10343339. The reversal of 10343328 is 82334301.

10343328 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 10343298 and 10343307.

It is not an unprimeable number, because it can be changed into a prime (10343323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15318 + ... + 15978.

It is an arithmetic number, because the mean of its divisors is an integer number (569982).

Almost surely, 210343328 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 10343328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13679568).

10343328 is an abundant number, since it is smaller than the sum of its proper divisors (17015808).

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

10343328 is a wasteful number, since it uses less digits than its factorization.

10343328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 837 (or 829 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 10343328 is about 3216.1044759149. The cubic root of 10343328 is about 217.8813708021.

Adding to 10343328 its reverse (82334301), we get a palindrome (92677629).

The spelling of 10343328 in words is "ten million, three hundred forty-three thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 163 326 489 652 661 978 1304 1322 1956 1983 2608 2644 3912 3966 5216 5288 7824 7932 10576 15648 15864 21152 31728 63456 107743 215486 323229 430972 646458 861944 1292916 1723888 2585832 3447776 5171664 10343328