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10406344 = 2313243179
BaseRepresentation
bin100111101100…
…100111001000
3201120200211011
4213230213020
510131000334
61011013304
7154311124
oct47544710
921520734
1010406344
115968493
12359a234
132204800
14154c584
15da8564
hex9ec9c8

10406344 has 48 divisors (see below), whose sum is σ = 21740400. Its totient is φ = 4665024.

The previous prime is 10406323. The next prime is 10406377. The reversal of 10406344 is 44360401.

It is a happy number.

10406344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58047 + ... + 58225.

It is an arithmetic number, because the mean of its divisors is an integer number (452925).

Almost surely, 210406344 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 10406344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10870200).

10406344 is an abundant number, since it is smaller than the sum of its proper divisors (11334056).

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

10406344 is a wasteful number, since it uses less digits than its factorization.

10406344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 10406344 is about 3225.8865448121. The cubic root of 10406344 is about 218.3229509012.

Adding to 10406344 its reverse (44360401), we get a palindrome (54766745).

It can be divided in two parts, 10406 and 344, that multiplied together give a square (3579664 = 18922).

The spelling of 10406344 in words is "ten million, four hundred six thousand, three hundred forty-four".

Divisors: 1 2 4 8 13 26 43 52 86 104 169 172 179 338 344 358 559 676 716 1118 1352 1432 2236 2327 4472 4654 7267 7697 9308 14534 15394 18616 29068 30251 30788 58136 60502 61576 100061 121004 200122 242008 400244 800488 1300793 2601586 5203172 10406344