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10344474 = 23271929149
BaseRepresentation
bin100111011101…
…100000011010
3201110112221200
4213131200122
510122010344
61005415030
7153632550
oct47354032
921415850
1010344474
115925a58
12356a476
1321b25ba
141533bd0
15d95069
hex9dd81a

10344474 has 96 divisors (see below), whose sum is σ = 28080000. Its totient is φ = 2685312.

The previous prime is 10344473. The next prime is 10344479. The reversal of 10344474 is 47444301.

10344474 = 1172 + 1182 + ... + 3192.

10344474 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (10344473) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69352 + ... + 69500.

It is an arithmetic number, because the mean of its divisors is an integer number (292500).

Almost surely, 210344474 is an apocalyptic number.

10344474 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10344474, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14040000).

10344474 is an abundant number, since it is smaller than the sum of its proper divisors (17735526).

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

10344474 is a wasteful number, since it uses less digits than its factorization.

10344474 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 10344474 is about 3216.2826368340. The cubic root of 10344474 is about 217.8894173042.

Adding to 10344474 its reverse (47444301), we get a palindrome (57788775).

The spelling of 10344474 in words is "ten million, three hundred forty-four thousand, four hundred seventy-four".

Divisors: 1 2 3 6 7 9 14 18 19 21 29 38 42 57 58 63 87 114 126 133 149 171 174 203 261 266 298 342 399 406 447 522 551 609 798 894 1043 1102 1197 1218 1341 1653 1827 2086 2394 2682 2831 3129 3306 3654 3857 4321 4959 5662 6258 7714 8493 8642 9387 9918 11571 12963 16986 18774 19817 23142 25479 25926 30247 34713 38889 39634 50958 59451 60494 69426 77778 82099 90741 118902 164198 178353 181482 246297 272223 356706 492594 544446 574693 738891 1149386 1477782 1724079 3448158 5172237 10344474