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3436261140 = 22351310314273
BaseRepresentation
bin1100110011010001…
…0010111100010100
322212110221011010010
43030310102330110
524014140324030
61324551000220
7151103511024
oct31464227424
98773834103
103436261140
111503752944
127ba969070
13429bb0920
14248529a84
15151a1b6b0
hexccd12f14

3436261140 has 96 divisors (see below), whose sum is σ = 10374126336. Its totient is φ = 844830720.

The previous prime is 3436261109. The next prime is 3436261141. The reversal of 3436261140 is 411626343.

It is a super-5 number, since 5×34362611405 (a number of 49 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3436261098 and 3436261107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3436261141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 802044 + ... + 806316.

It is an arithmetic number, because the mean of its divisors is an integer number (108063816).

Almost surely, 23436261140 is an apocalyptic number.

3436261140 is a gapful number since it is divisible by the number (30) 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 3436261140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5187063168).

3436261140 is an abundant number, since it is smaller than the sum of its proper divisors (6937865196).

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

3436261140 is a wasteful number, since it uses less digits than its factorization.

3436261140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5329 (or 5327 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 3436261140 is about 58619.6310121447. The cubic root of 3436261140 is about 1509.0213590608.

Adding to 3436261140 its reverse (411626343), we get a palindrome (3847887483).

The spelling of 3436261140 in words is "three billion, four hundred thirty-six million, two hundred sixty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 1031 2062 3093 4124 4273 5155 6186 8546 10310 12372 12819 13403 15465 17092 20620 21365 25638 26806 30930 40209 42730 51276 53612 55549 61860 64095 67015 80418 85460 111098 128190 134030 160836 166647 201045 222196 256380 268060 277745 333294 402090 555490 666588 804180 833235 1110980 1666470 3332940 4405463 8810926 13216389 17621852 22027315 26432778 44054630 52865556 57271019 66081945 88109260 114542038 132163890 171813057 229084076 264327780 286355095 343626114 572710190 687252228 859065285 1145420380 1718130570 3436261140