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10434249 = 3271923379
BaseRepresentation
bin100111110011…
…011011001001
3201122010002200
4213303123021
510132343444
61011350413
7154455360
oct47633311
921563080
1010434249
115987451
1235b2409
132214417
1415587d7
15db1969
hex9f36c9

10434249 has 48 divisors (see below), whose sum is σ = 18969600. Its totient is φ = 5388768.

The previous prime is 10434247. The next prime is 10434253. The reversal of 10434249 is 94243401.

10434249 = T76 + T77 + ... + T397.

It is not a de Polignac number, because 10434249 - 21 = 10434247 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10434247) 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, 27342 + ... + 27720.

It is an arithmetic number, because the mean of its divisors is an integer number (395200).

Almost surely, 210434249 is an apocalyptic number.

10434249 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

10434249 is a deficient number, since it is larger than the sum of its proper divisors (8535351).

10434249 is a wasteful number, since it uses less digits than its factorization.

10434249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 10434249 is about 3230.2088167795. The cubic root of 10434249 is about 218.5179237776.

The spelling of 10434249 in words is "ten million, four hundred thirty-four thousand, two hundred forty-nine".

Divisors: 1 3 7 9 19 21 23 57 63 69 133 161 171 207 379 399 437 483 1137 1197 1311 1449 2653 3059 3411 3933 7201 7959 8717 9177 21603 23877 26151 27531 50407 61019 64809 78453 151221 165623 183057 453663 496869 549171 1159361 1490607 3478083 10434249