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3067261668 = 22363728429
BaseRepresentation
bin1011011011010010…
…1011001011100100
321220202121001000000
42312310223023210
522240204333133
61224210021300
7136003202562
oct26664531344
97822531000
103067261668
1113344310a9
12717277830
1339b604843
14211514a32
1512e42d413
hexb6d2b2e4

3067261668 has 84 divisors (see below), whose sum is σ = 8265681340. Its totient is φ = 994752576.

The previous prime is 3067261667. The next prime is 3067261693. The reversal of 3067261668 is 8661627603.

It can be written as a sum of positive squares in 2 ways, for example, as 1975091364 + 1092170304 = 44442^2 + 33048^2 .

It is not an unprimeable number, because it can be changed into a prime (3067261667) 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 27 ways as a sum of consecutive naturals, for example, 93678 + ... + 122106.

Almost surely, 23067261668 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 3067261668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4132840670).

3067261668 is an abundant number, since it is smaller than the sum of its proper divisors (5198419672).

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

3067261668 is a wasteful number, since it uses less digits than its factorization.

3067261668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28488 (or 28471 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 3067261668 is about 55382.8643896287. The cubic root of 3067261668 is about 1452.9486833565.

The spelling of 3067261668 in words is "three billion, sixty-seven million, two hundred sixty-one thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 81 108 111 148 162 222 243 324 333 444 486 666 729 972 999 1332 1458 1998 2916 2997 3996 5994 8991 11988 17982 26973 28429 35964 53946 56858 85287 107892 113716 170574 255861 341148 511722 767583 1023444 1051873 1535166 2103746 2302749 3070332 3155619 4207492 4605498 6311238 6908247 9210996 9466857 12622476 13816494 18933714 20724741 27632988 28400571 37867428 41449482 56801142 82898964 85201713 113602284 170403426 255605139 340806852 511210278 766815417 1022420556 1533630834 3067261668