Search a number
-
+
10342816 = 251129383
BaseRepresentation
bin100111011101…
…000110100000
3201110110200021
4213131012200
510121432231
61005403224
7153624661
oct47350640
921413607
1010342816
115924790
123569514
1321b1913
141533368
15d94811
hex9dd1a0

10342816 has 24 divisors (see below), whose sum is σ = 22214304. Its totient is φ = 4701120.

The previous prime is 10342789. The next prime is 10342823. The reversal of 10342816 is 61824301.

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 3 ways as a sum of consecutive naturals, for example, 14340 + ... + 15043.

It is an arithmetic number, because the mean of its divisors is an integer number (925596).

Almost surely, 210342816 is an apocalyptic number.

10342816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10342816 is an abundant number, since it is smaller than the sum of its proper divisors (11871488).

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

10342816 is a wasteful number, since it uses less digits than its factorization.

10342816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29404 (or 29396 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 10342816 is about 3216.0248755257. The cubic root of 10342816 is about 217.8777756632.

The spelling of 10342816 in words is "ten million, three hundred forty-two thousand, eight hundred sixteen".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 29383 58766 117532 235064 323213 470128 646426 940256 1292852 2585704 5171408 10342816