Search a number
-
+
352146444 = 2231313716477
BaseRepresentation
bin10100111111010…
…101010000001100
3220112121220002220
4110333111100030
51210122141234
654535415340
711504124006
oct2477252014
9815556086
10352146444
11170860921
1299b24550
1357c581a0
1434aa9376
1520daea49
hex14fd540c

352146444 has 48 divisors (see below), whose sum is σ = 891393888. Its totient is φ = 107555328.

The previous prime is 352146413. The next prime is 352146467. The reversal of 352146444 is 444641253.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13134 + ... + 29610.

It is an arithmetic number, because the mean of its divisors is an integer number (18570706).

Almost surely, 2352146444 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 352146444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445696944).

352146444 is an abundant number, since it is smaller than the sum of its proper divisors (539247444).

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

352146444 is a wasteful number, since it uses less digits than its factorization.

352146444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16634 (or 16632 counting only the distinct ones).

The product of its digits is 46080, while the sum is 33.

The square root of 352146444 is about 18765.5653791726. The cubic root of 352146444 is about 706.1675698402.

Adding to 352146444 its reverse (444641253), we get a palindrome (796787697).

The spelling of 352146444 in words is "three hundred fifty-two million, one hundred forty-six thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 137 156 274 411 548 822 1644 1781 3562 5343 7124 10686 16477 21372 32954 49431 65908 98862 197724 214201 428402 642603 856804 1285206 2257349 2570412 4514698 6772047 9029396 13544094 27088188 29345537 58691074 88036611 117382148 176073222 352146444