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10424634 = 2311283173
BaseRepresentation
bin100111110001…
…000100111010
3201121121220120
4213301010322
510132042014
61011234110
7154415343
oct47610472
921547816
1010424634
115980200
1235a8936
13220cc2c
1415550ca
15dadba9
hex9f113a

10424634 has 48 divisors (see below), whose sum is σ = 23327136. Its totient is φ = 3102880.

The previous prime is 10424611. The next prime is 10424663. The reversal of 10424634 is 43642401.

10424634 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60172 + ... + 60344.

It is an arithmetic number, because the mean of its divisors is an integer number (485982).

Almost surely, 210424634 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10424634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11663568).

10424634 is an abundant number, since it is smaller than the sum of its proper divisors (12902502).

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

10424634 is a wasteful number, since it uses less digits than its factorization.

10424634 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 10424634 is about 3228.7201798855. The cubic root of 10424634 is about 218.4507828481.

The spelling of 10424634 in words is "ten million, four hundred twenty-four thousand, six hundred thirty-four".

Divisors: 1 2 3 6 11 22 33 66 83 121 166 173 242 249 346 363 498 519 726 913 1038 1826 1903 2739 3806 5478 5709 10043 11418 14359 20086 20933 28718 30129 41866 43077 60258 62799 86154 125598 157949 315898 473847 947694 1737439 3474878 5212317 10424634