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10434660 = 2235612851
BaseRepresentation
bin100111110011…
…100001100100
3201122010122220
4213303201210
510132402120
61011352340
7154456515
oct47634144
921563586
1010434660
115987795
1235b26b0
132214672
141558a0c
15db1b40
hex9f3864

10434660 has 48 divisors (see below), whose sum is σ = 29706432. Its totient is φ = 2736000.

The previous prime is 10434659. The next prime is 10434707. The reversal of 10434660 is 6643401.

10434660 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 a self number, because there is not a number n which added to its sum of digits gives 10434660.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2235 + ... + 5085.

It is an arithmetic number, because the mean of its divisors is an integer number (618884).

Almost surely, 210434660 is an apocalyptic number.

10434660 is a gapful number since it is divisible by the number (10) 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 10434660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14853216).

10434660 is an abundant number, since it is smaller than the sum of its proper divisors (19271772).

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

10434660 is a wasteful number, since it uses less digits than its factorization.

10434660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2924 (or 2922 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 10434660 is about 3230.2724343312. The cubic root of 10434660 is about 218.5207928448.

The spelling of 10434660 in words is "ten million, four hundred thirty-four thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 61 122 183 244 305 366 610 732 915 1220 1830 2851 3660 5702 8553 11404 14255 17106 28510 34212 42765 57020 85530 171060 173911 347822 521733 695644 869555 1043466 1739110 2086932 2608665 3478220 5217330 10434660