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10342444 = 2272947271
BaseRepresentation
bin100111011101…
…000000101100
3201110110011111
4213131000230
510121424234
61005401404
7153623620
oct47350054
921413144
1010342444
115924482
123569264
1321b16b8
141533180
15d94664
hex9dd02c

10342444 has 48 divisors (see below), whose sum is σ = 21934080. Its totient is φ = 4173120.

The previous prime is 10342439. The next prime is 10342447. The reversal of 10342444 is 44424301.

It is a super-2 number, since 2×103424442 = 213932295786272, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10342447) 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, 38029 + ... + 38299.

It is an arithmetic number, because the mean of its divisors is an integer number (456960).

Almost surely, 210342444 is an apocalyptic number.

10342444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10342444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10967040).

10342444 is an abundant number, since it is smaller than the sum of its proper divisors (11591636).

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

10342444 is a wasteful number, since it uses less digits than its factorization.

10342444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 10342444 is about 3215.9670396321. The cubic root of 10342444 is about 217.8751634957.

Adding to 10342444 its reverse (44424301), we get a palindrome (54766745).

The spelling of 10342444 in words is "ten million, three hundred forty-two thousand, four hundred forty-four".

Divisors: 1 2 4 7 14 28 29 47 58 94 116 188 203 271 329 406 542 658 812 1084 1316 1363 1897 2726 3794 5452 7588 7859 9541 12737 15718 19082 25474 31436 38164 50948 55013 89159 110026 178318 220052 356636 369373 738746 1477492 2585611 5171222 10342444