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10342314 = 2323753293
BaseRepresentation
bin100111011100…
…111110101010
3201110102222200
4213130332222
510121423224
61005401030
7153623343
oct47347652
921412880
1010342314
115924374
123569176
1321b1618
1415330ca
15d945c9
hex9dcfaa

10342314 has 48 divisors (see below), whose sum is σ = 23528232. Its totient is φ = 3279744.

The previous prime is 10342301. The next prime is 10342337. The reversal of 10342314 is 41324301.

10342314 is a `hidden beast` number, since 10 + 342 + 314 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9828225 + 514089 = 3135^2 + 717^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35152 + ... + 35444.

Almost surely, 210342314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10342314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11764116).

10342314 is an abundant number, since it is smaller than the sum of its proper divisors (13185918).

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

10342314 is a wasteful number, since it uses less digits than its factorization.

10342314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 10342314 is about 3215.9468279186. The cubic root of 10342314 is about 217.8742506267.

Adding to 10342314 its reverse (41324301), we get a palindrome (51666615).

The spelling of 10342314 in words is "ten million, three hundred forty-two thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 37 53 74 106 111 159 222 293 318 333 477 586 666 879 954 1758 1961 2637 3922 5274 5883 10841 11766 15529 17649 21682 31058 32523 35298 46587 65046 93174 97569 139761 195138 279522 574573 1149146 1723719 3447438 5171157 10342314