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352315332 = 22343729389
BaseRepresentation
bin10100111111111…
…110011111000100
3220112221110210000
4110333332133010
51210143042312
654543201300
711505426255
oct2477763704
9815843700
10352315332
111709667a6
1299ba6230
1357cb7015
1434b10b2c
1520de4adc
hex14ffe7c4

352315332 has 60 divisors (see below), whose sum is σ = 945946540. Its totient is φ = 114260544.

The previous prime is 352315331. The next prime is 352315343. The reversal of 352315332 is 233513253.

352315332 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 216266436 + 136048896 = 14706^2 + 11664^2 .

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 = 352315296 and 352315305.

It is not an unprimeable number, because it can be changed into a prime (352315331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2707 + ... + 26682.

Almost surely, 2352315332 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 352315332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472973270).

352315332 is an abundant number, since it is smaller than the sum of its proper divisors (593631208).

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

352315332 is a wasteful number, since it uses less digits than its factorization.

352315332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29442 (or 29431 counting only the distinct ones).

The product of its digits is 8100, while the sum is 27.

The square root of 352315332 is about 18770.0647841184. The cubic root of 352315332 is about 706.2804434941.

Adding to 352315332 its reverse (233513253), we get a palindrome (585828585).

It can be divided in two parts, 3523153 and 32, that added together give a triangular number (3523185 = T2654).

The spelling of 352315332 in words is "three hundred fifty-two million, three hundred fifteen thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 81 108 111 148 162 222 324 333 444 666 999 1332 1998 2997 3996 5994 11988 29389 58778 88167 117556 176334 264501 352668 529002 793503 1058004 1087393 1587006 2174786 2380509 3174012 3262179 4349572 4761018 6524358 9522036 9786537 13048716 19573074 29359611 39146148 58719222 88078833 117438444 176157666 352315332