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10344016 = 2437101173
BaseRepresentation
bin100111011101…
…011001010000
3201110112022201
4213131121100
510122002031
61005412544
7153631324
oct47353120
921415281
1010344016
115925681
12356a154
1321b2327
141533984
15d94d61
hex9dd650

10344016 has 40 divisors (see below), whose sum is σ = 20907144. Its totient is φ = 4953600.

The previous prime is 10344001. The next prime is 10344017. The reversal of 10344016 is 61044301.

It is a happy number.

10344016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 8643600 + 1700416 = 2940^2 + 1304^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10343984 and 10344002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10344017) 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, 59706 + ... + 59878.

Almost surely, 210344016 is an apocalyptic number.

10344016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10344016 is an abundant number, since it is smaller than the sum of its proper divisors (10563128).

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

10344016 is a wasteful number, since it uses less digits than its factorization.

10344016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 10344016 is about 3216.2114358356. The cubic root of 10344016 is about 217.8862015832.

Adding to 10344016 its reverse (61044301), we get a palindrome (71388317).

It can be divided in two parts, 1034 and 4016, that added together give a triangular number (5050 = T100).

The spelling of 10344016 in words is "ten million, three hundred forty-four thousand, sixteen".

Divisors: 1 2 4 8 16 37 74 101 148 173 202 296 346 404 592 692 808 1384 1616 2768 3737 6401 7474 12802 14948 17473 25604 29896 34946 51208 59792 69892 102416 139784 279568 646501 1293002 2586004 5172008 10344016