Search a number
-
+
3410341320 = 233528419511
BaseRepresentation
bin1100101101000101…
…1010110111001000
322210200011021210210
43023101122313020
523441021410240
61322223241120
7150340265031
oct31321326710
98720137723
103410341320
1114a0059a01
127b21491a0
13424706b59
14244cdda88
1514e5eb780
hexcb45adc8

3410341320 has 32 divisors (see below), whose sum is σ = 10231024320. Its totient is φ = 909424320.

The previous prime is 3410341303. The next prime is 3410341327. The reversal of 3410341320 is 231430143.

3410341320 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 not an unprimeable number, because it can be changed into a prime (3410341327) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14209636 + ... + 14209875.

It is an arithmetic number, because the mean of its divisors is an integer number (319719510).

Almost surely, 23410341320 is an apocalyptic number.

3410341320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3410341320 is an abundant number, since it is smaller than the sum of its proper divisors (6820683000).

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

3410341320 is a wasteful number, since it uses less digits than its factorization.

3410341320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28419525 (or 28419521 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 3410341320 is about 58398.1277097134. The cubic root of 3410341320 is about 1505.2175812986.

Adding to 3410341320 its reverse (231430143), we get a palindrome (3641771463).

The spelling of 3410341320 in words is "three billion, four hundred ten million, three hundred forty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 28419511 56839022 85258533 113678044 142097555 170517066 227356088 284195110 341034132 426292665 568390220 682068264 852585330 1136780440 1705170660 3410341320