Search a number
-
+
3414143240 = 235438922303
BaseRepresentation
bin1100101101111111…
…1011000100001000
322210221022110001122
43023133323010020
523443010040430
61322440534412
7150414511244
oct31337730410
98727273048
103414143240
1114a2216392
127b3481408
13425438501
1424560d424
1514eaecee5
hexcb7fb108

3414143240 has 64 divisors (see below), whose sum is σ = 7949145600. Its totient is φ = 1318851072.

The previous prime is 3414143219. The next prime is 3414143263. The reversal of 3414143240 is 423414143.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 141929 + ... + 164231.

It is an arithmetic number, because the mean of its divisors is an integer number (124205400).

Almost surely, 23414143240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3414143240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3974572800).

3414143240 is an abundant number, since it is smaller than the sum of its proper divisors (4535002360).

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

3414143240 is a wasteful number, since it uses less digits than its factorization.

3414143240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22446 (or 22442 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

The square root of 3414143240 is about 58430.6703709619. The cubic root of 3414143240 is about 1505.7767229410.

Adding to 3414143240 its reverse (423414143), we get a palindrome (3837557383).

The spelling of 3414143240 in words is "three billion, four hundred fourteen million, one hundred forty-three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 40 43 86 89 172 178 215 344 356 430 445 712 860 890 1720 1780 3560 3827 7654 15308 19135 22303 30616 38270 44606 76540 89212 111515 153080 178424 223030 446060 892120 959029 1918058 1984967 3836116 3969934 4795145 7672232 7939868 9590290 9924835 15879736 19180580 19849670 38361160 39699340 79398680 85353581 170707162 341414324 426767905 682828648 853535810 1707071620 3414143240