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3301353352 = 2311217211801
BaseRepresentation
bin1100010011000110…
…1010011110001000
322112002002010102101
43010301222132020
523230121301402
61303331243144
7144545016613
oct30461523610
98462063371
103301353352
111444589700
127817494b4
13407c6732b
1423464d17a
15144c6db87
hexc4c6a788

3301353352 has 72 divisors (see below), whose sum is σ = 7228311930. Its totient is φ = 1412224000.

The previous prime is 3301353281. The next prime is 3301353353. The reversal of 3301353352 is 2533531033.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 3279394756 + 21958596 = 57266^2 + 4686^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 3301353352.

It is not an unprimeable number, because it can be changed into a prime (3301353353) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 273852 + ... + 285652.

Almost surely, 23301353352 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 3301353352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3614155965).

3301353352 is an abundant number, since it is smaller than the sum of its proper divisors (3926958578).

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

3301353352 is a wasteful number, since it uses less digits than its factorization.

3301353352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11863 (or 11831 counting only the distinct ones).

The product of its (nonzero) digits is 12150, while the sum is 28.

The square root of 3301353352 is about 57457.4046751156. The cubic root of 3301353352 is about 1489.0090481657.

Adding to 3301353352 its reverse (2533531033), we get a palindrome (5834884385).

It can be divided in two parts, 3301 and 353352, that added together give a palindrome (356653).

The spelling of 3301353352 in words is "three billion, three hundred one million, three hundred fifty-three thousand, three hundred fifty-two".

Divisors: 1 2 4 8 11 17 22 34 44 68 88 121 136 187 242 289 374 484 578 748 968 1156 1496 2057 2312 3179 4114 6358 8228 11801 12716 16456 23602 25432 34969 47204 69938 94408 129811 139876 200617 259622 279752 401234 519244 802468 1038488 1427921 1604936 2206787 2855842 3410489 4413574 5711684 6820978 8827148 11423368 13641956 17654296 24274657 27283912 37515379 48549314 75030758 97098628 150061516 194197256 300123032 412669169 825338338 1650676676 3301353352