Search a number
-
+
345113514 = 23329317109
BaseRepresentation
bin10100100100100…
…000001110101010
3220001101120202000
4110210200032222
51201322113024
654124551430
711360262564
oct2444401652
9801346660
10345113514
11167897989
12976b2576
1356664ca5
1433b98334
1520470cc9
hex149203aa

345113514 has 64 divisors (see below), whose sum is σ = 819072000. Its totient is φ = 107472960.

The previous prime is 345113513. The next prime is 345113519. The reversal of 345113514 is 415311543.

It is a happy number.

345113514 is a `hidden beast` number, since 34 + 5 + 113 + 514 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (345113513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44992 + ... + 52100.

It is an arithmetic number, because the mean of its divisors is an integer number (12798000).

Almost surely, 2345113514 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345113514, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409536000).

345113514 is an abundant number, since it is smaller than the sum of its proper divisors (473958486).

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

345113514 is a wasteful number, since it uses less digits than its factorization.

345113514 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7180 (or 7174 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 345113514 is about 18577.2310638588. The cubic root of 345113514 is about 701.4348215978.

It can be divided in two parts, 34511 and 3514, that added together give a square (38025 = 1952).

The spelling of 345113514 in words is "three hundred forty-five million, one hundred thirteen thousand, five hundred fourteen".

Divisors: 1 2 3 6 9 18 27 29 31 54 58 62 87 93 174 186 261 279 522 558 783 837 899 1566 1674 1798 2697 5394 7109 8091 14218 16182 21327 24273 42654 48546 63981 127962 191943 206161 220379 383886 412322 440758 618483 661137 1236966 1322274 1855449 1983411 3710898 3966822 5566347 5950233 6390991 11132694 11900466 12781982 19172973 38345946 57518919 115037838 172556757 345113514