Search a number
-
+
340146221130 = 23352834451593
BaseRepresentation
bin1001111001100100100…
…10110111000001001010
31012111222101010100221000
410330302102313001022
521033104413034010
6420132213555430
733401066113662
oct4746222670112
91174871110830
10340146221130
11121289746451
1255b0a345b76
13260ca289041
141266acd31a2
158cabe2a7c0
hex4f324b704a

340146221130 has 64 divisors (see below), whose sum is σ = 910261941120. Its totient is φ = 90385123968.

The previous prime is 340146221123. The next prime is 340146221143. The reversal of 340146221130 is 31122641043.

It is a happy number.

340146221130 is a `hidden beast` number, since 3 + 4 + 0 + 1 + 4 + 622 + 1 + 1 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 340146221094 and 340146221103.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2149387 + ... + 2302206.

It is an arithmetic number, because the mean of its divisors is an integer number (14222842830).

Almost surely, 2340146221130 is an apocalyptic number.

340146221130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

340146221130 is an abundant number, since it is smaller than the sum of its proper divisors (570115719990).

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

340146221130 is a wasteful number, since it uses less digits than its factorization.

340146221130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4451892 (or 4451886 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 340146221130 its reverse (31122641043), we get a palindrome (371268862173).

The spelling of 340146221130 in words is "three hundred forty billion, one hundred forty-six million, two hundred twenty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 283 566 849 1415 1698 2547 2830 4245 5094 7641 8490 12735 15282 25470 38205 76410 4451593 8903186 13354779 22257965 26709558 40064337 44515930 66773895 80128674 120193011 133547790 200321685 240386022 400643370 600965055 1201930110 1259800819 2519601638 3779402457 6299004095 7558804914 11338207371 12598008190 18897012285 22676414742 34014622113 37794024570 56691036855 68029244226 113382073710 170073110565 340146221130