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3414632312 = 2371315832963
BaseRepresentation
bin1100101110000111…
…0010011101111000
322210222020021221102
43023201302131320
523443121213222
61322455230532
7150421616150
oct31341623570
98728207842
103414632312
1114a251a883
127b3678448
13425579cc0
142456d9760
1514eb97d92
hexcb872778

3414632312 has 64 divisors (see below), whose sum is σ = 7887559680. Its totient is φ = 1349534592.

The previous prime is 3414632303. The next prime is 3414632317. The reversal of 3414632312 is 2132364143.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3414632317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1150943 + ... + 1153905.

It is an arithmetic number, because the mean of its divisors is an integer number (123243120).

Almost surely, 23414632312 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 3414632312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3943779840).

3414632312 is an abundant number, since it is smaller than the sum of its proper divisors (4472927368).

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

3414632312 is a wasteful number, since it uses less digits than its factorization.

3414632312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4572 (or 4568 counting only the distinct ones).

The product of its digits is 10368, while the sum is 29.

The square root of 3414632312 is about 58434.8552834693. The cubic root of 3414632312 is about 1505.8486197558.

Adding to 3414632312 its reverse (2132364143), we get a palindrome (5546996455).

The spelling of 3414632312 in words is "three billion, four hundred fourteen million, six hundred thirty-two thousand, three hundred twelve".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 182 364 728 1583 2963 3166 5926 6332 11081 11852 12664 20579 20741 22162 23704 38519 41158 41482 44324 77038 82316 82964 88648 144053 154076 164632 165928 269633 288106 308152 539266 576212 1078532 1152424 2157064 4690429 9380858 18761716 32833003 37523432 60975577 65666006 121951154 131332012 243902308 262664024 426829039 487804616 853658078 1707316156 3414632312