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3301134432 = 253238318013
BaseRepresentation
bin1100010011000011…
…0101000001100000
322112001200000010020
43010300311001200
523230042300212
61303322433440
7144543115431
oct30460650140
98461600106
103301134432
11144444a182
12781662880
13407bbb7ab
142345d3488
15144c28d8c
hexc4c35060

3301134432 has 96 divisors (see below), whose sum is σ = 9151688448. Its totient is φ = 1039796736.

The previous prime is 3301134401. The next prime is 3301134437. The reversal of 3301134432 is 2344311033.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3301134437) 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 15 ways as a sum of consecutive naturals, for example, 174258 + ... + 192270.

It is an arithmetic number, because the mean of its divisors is an integer number (95330088).

Almost surely, 23301134432 is an apocalyptic number.

3301134432 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3301134432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4575844224).

3301134432 is an abundant number, since it is smaller than the sum of its proper divisors (5850554016).

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

3301134432 is a wasteful number, since it uses less digits than its factorization.

3301134432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18132 (or 18124 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 3301134432 is about 57455.4995801098. The cubic root of 3301134432 is about 1488.9761342834.

Adding to 3301134432 its reverse (2344311033), we get a palindrome (5645445465).

The spelling of 3301134432 in words is "three billion, three hundred one million, one hundred thirty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 83 92 96 138 166 184 249 276 332 368 498 552 664 736 996 1104 1328 1909 1992 2208 2656 3818 3984 5727 7636 7968 11454 15272 18013 22908 30544 36026 45816 54039 61088 72052 91632 108078 144104 183264 216156 288208 414299 432312 576416 828598 864624 1242897 1495079 1657196 1729248 2485794 2990158 3314392 4485237 4971588 5980316 6628784 8970474 9943176 11960632 13257568 17940948 19886352 23921264 34386817 35881896 39772704 47842528 68773634 71763792 103160451 137547268 143527584 206320902 275094536 412641804 550189072 825283608 1100378144 1650567216 3301134432