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10054344 = 23317191297
BaseRepresentation
bin100110010110…
…101011001000
3200220210222010
4212112223020
510033214334
6555255520
7151313646
oct46265310
920823863
1010054344
115747a83
12344a5a0
132110521
14149a196
15d390e9
hex996ac8

10054344 has 64 divisors (see below), whose sum is σ = 28036800. Its totient is φ = 2985984.

The previous prime is 10054339. The next prime is 10054349. The reversal of 10054344 is 44345001.

It is an interprime number because it is at equal distance from previous prime (10054339) and next prime (10054349).

It is a self number, because there is not a number n which added to its sum of digits gives 10054344.

It is not an unprimeable number, because it can be changed into a prime (10054349) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 7104 + ... + 8400.

It is an arithmetic number, because the mean of its divisors is an integer number (438075).

Almost surely, 210054344 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 10054344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14018400).

10054344 is an abundant number, since it is smaller than the sum of its proper divisors (17982456).

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

10054344 is a wasteful number, since it uses less digits than its factorization.

10054344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1342 (or 1338 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 10054344 is about 3170.8585588134. The cubic root of 10054344 is about 215.8330328338.

Adding to 10054344 its reverse (44345001), we get a palindrome (54399345).

The spelling of 10054344 in words is "ten million, fifty-four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 17 19 24 34 38 51 57 68 76 102 114 136 152 204 228 323 408 456 646 969 1292 1297 1938 2584 2594 3876 3891 5188 7752 7782 10376 15564 22049 24643 31128 44098 49286 66147 73929 88196 98572 132294 147858 176392 197144 264588 295716 418931 529176 591432 837862 1256793 1675724 2513586 3351448 5027172 10054344