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10444434 = 23711133747
BaseRepresentation
bin100111110101…
…111010010010
3201122122001220
4213311322102
510133210214
61011505510
7154530150
oct47657222
921578056
1010444434
115994070
1235b8296
132218c50
14155c3d0
15db49a9
hex9f5e92

10444434 has 128 divisors (see below), whose sum is σ = 29417472. Its totient is φ = 2384640.

The previous prime is 10444403. The next prime is 10444439. The reversal of 10444434 is 43444401.

It is not an unprimeable number, because it can be changed into a prime (10444439) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 222199 + ... + 222245.

It is an arithmetic number, because the mean of its divisors is an integer number (229824).

Almost surely, 210444434 is an apocalyptic number.

10444434 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 10444434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14708736).

10444434 is an abundant number, since it is smaller than the sum of its proper divisors (18973038).

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

10444434 is a wasteful number, since it uses less digits than its factorization.

10444434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120.

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 10444434 is about 3231.7849557172. The cubic root of 10444434 is about 218.5890000093.

Adding to 10444434 its reverse (43444401), we get a palindrome (53888835).

It can be divided in two parts, 10444 and 434, that added together give a triangular number (10878 = T147).

The spelling of 10444434 in words is "ten million, four hundred forty-four thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 37 39 42 47 66 74 77 78 91 94 111 141 143 154 182 222 231 259 273 282 286 329 407 429 462 481 517 518 546 611 658 777 814 858 962 987 1001 1034 1221 1222 1443 1551 1554 1739 1833 1974 2002 2442 2849 2886 3003 3102 3367 3478 3619 3666 4277 5217 5291 5698 6006 6721 6734 7238 8547 8554 10101 10434 10582 10857 12173 12831 13442 15873 17094 19129 20163 20202 21714 22607 24346 25662 31746 36519 37037 38258 40326 45214 47047 57387 67821 73038 74074 94094 111111 114774 133903 135642 141141 158249 222222 248677 267806 282282 316498 401709 474747 497354 746031 803418 949494 1492062 1740739 3481478 5222217 10444434