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10343952 = 2432292477
BaseRepresentation
bin100111011101…
…011000010000
3201110112020100
4213131120100
510122001302
61005412400
7153631203
oct47353020
921415210
1010343952
115925623
12356a100
1321b22a8
14153393a
15d94d1c
hex9dd610

10343952 has 60 divisors (see below), whose sum is σ = 29959020. Its totient is φ = 3327744.

The previous prime is 10343947. The next prime is 10344001. The reversal of 10343952 is 25934301.

It can be written as a sum of positive squares in 2 ways, for example, as 5308416 + 5035536 = 2304^2 + 2244^2 .

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 11 ways as a sum of consecutive naturals, for example, 2938 + ... + 5414.

It is an arithmetic number, because the mean of its divisors is an integer number (499317).

Almost surely, 210343952 is an apocalyptic number.

10343952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10343952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14979510).

10343952 is an abundant number, since it is smaller than the sum of its proper divisors (19615068).

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

10343952 is a wasteful number, since it uses less digits than its factorization.

10343952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2520 (or 2511 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 10343952 is about 3216.2014862256. The cubic root of 10343952 is about 217.8857522173.

The spelling of 10343952 in words is "ten million, three hundred forty-three thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 116 144 174 232 261 348 464 522 696 1044 1392 2088 2477 4176 4954 7431 9908 14862 19816 22293 29724 39632 44586 59448 71833 89172 118896 143666 178344 215499 287332 356688 430998 574664 646497 861996 1149328 1292994 1723992 2585988 3447984 5171976 10343952