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4134343240 = 235294186929
BaseRepresentation
bin1111011001101101…
…0001001001001000
3101200010111101201201
43312123101021020
531431342440430
61522125153544
7204311223556
oct36633211110
911603441651
104134343240
1118318022a5
129746bb8b4
1350b6cb061
142b3124bd6
15192e608ca
hexf66d1248

4134343240 has 64 divisors (see below), whose sum is σ = 9857862000. Its totient is φ = 1557749760.

The previous prime is 4134343217. The next prime is 4134343249. The reversal of 4134343240 is 423434314.

It can be written as a sum of positive squares in 8 ways, for example, as 388168804 + 3746174436 = 19702^2 + 61206^2 .

It is a super-2 number, since 2×41343432402 = 34185588052267395200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4134343199 and 4134343208.

It is not an unprimeable number, because it can be changed into a prime (4134343249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4096 + ... + 91024.

Almost surely, 24134343240 is an apocalyptic number.

4134343240 is a gapful number since it is divisible by the number (40) 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 4134343240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4928931000).

4134343240 is an abundant number, since it is smaller than the sum of its proper divisors (5723518760).

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

4134343240 is a wasteful number, since it uses less digits than its factorization.

4134343240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87010 (or 87006 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

The square root of 4134343240 is about 64298.8587768088. The cubic root of 4134343240 is about 1604.9771110500.

Adding to 4134343240 its reverse (423434314), we get a palindrome (4557777554).

The spelling of 4134343240 in words is "four billion, one hundred thirty-four million, three hundred forty-three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 29 40 41 58 82 116 145 164 205 232 290 328 410 580 820 1160 1189 1640 2378 4756 5945 9512 11890 23780 47560 86929 173858 347716 434645 695432 869290 1738580 2520941 3477160 3564089 5041882 7128178 10083764 12604705 14256356 17820445 20167528 25209410 28512712 35640890 50418820 71281780 100837640 103358581 142563560 206717162 413434324 516792905 826868648 1033585810 2067171620 4134343240