Search a number
-
+
345214336 = 271092227
BaseRepresentation
bin10100100100111…
…000110110000000
3220001120201001011
4110210320312000
51201333324321
654131050304
711361162535
oct2444706600
9801521034
10345214336
11167956705
1297740994
135669bb4c
1433bc2d8c
1520490ae1
hex14938d80

345214336 has 48 divisors (see below), whose sum is σ = 697156740. Its totient is φ = 170270208.

The previous prime is 345214271. The next prime is 345214343. The reversal of 345214336 is 633412543.

It is a junction number, because it is equal to n+sod(n) for n = 345214298 and 345214307.

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 1520655 + ... + 1520881.

Almost surely, 2345214336 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 345214336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348578370).

345214336 is an abundant number, since it is smaller than the sum of its proper divisors (351942404).

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

345214336 is an equidigital number, since it uses as much as digits as its factorization.

345214336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 338 counting only the distinct ones).

The product of its digits is 25920, while the sum is 31.

The square root of 345214336 is about 18579.9444563217. The cubic root of 345214336 is about 701.5031210346.

Adding to 345214336 its reverse (633412543), we get a palindrome (978626879).

The spelling of 345214336 in words is "three hundred forty-five million, two hundred fourteen thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 32 64 109 128 218 227 436 454 872 908 1744 1816 3488 3632 6976 7264 11881 13952 14528 23762 24743 29056 47524 49486 95048 98972 190096 197944 380192 395888 760384 791776 1520768 1583552 2696987 3167104 5393974 10787948 21575896 43151792 86303584 172607168 345214336