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10434240 = 263253623
BaseRepresentation
bin100111110011…
…011011000000
3201122010002100
4213303123000
510132343430
61011350400
7154455345
oct47633300
921563070
1010434240
115987443
1235b2400
13221440b
1415587cc
15db1960
hex9f36c0

10434240 has 84 divisors (see below), whose sum is σ = 35899344. Its totient is φ = 2781696.

The previous prime is 10434227. The next prime is 10434247. The reversal of 10434240 is 4243401.

10434240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 11 ways as a sum of consecutive naturals, for example, 1069 + ... + 4691.

Almost surely, 210434240 is an apocalyptic number.

10434240 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 10434240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17949672).

10434240 is an abundant number, since it is smaller than the sum of its proper divisors (25465104).

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

10434240 is a wasteful number, since it uses less digits than its factorization.

10434240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3646 (or 3633 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 10434240 is about 3230.2074236804. The cubic root of 10434240 is about 218.5178609504.

Adding to 10434240 its reverse (4243401), we get a palindrome (14677641).

The spelling of 10434240 in words is "ten million, four hundred thirty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 3623 7246 10869 14492 18115 21738 28984 32607 36230 43476 54345 57968 65214 72460 86952 108690 115936 130428 144920 163035 173904 217380 231872 260856 289840 326070 347808 434760 521712 579680 652140 695616 869520 1043424 1159360 1304280 1739040 2086848 2608560 3478080 5217120 10434240