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3349113672 = 2335311932207
BaseRepresentation
bin1100011110011111…
…0110101101001000
322122101221121021010
43013213312231020
523324333114142
61312155043520
7145664665542
oct30747665510
98571847233
103349113672
11146953a743
127957405a0
13414b1a188
1423ab22692
15149054e9c
hexc79f6b48

3349113672 has 64 divisors (see below), whose sum is σ = 8541780480. Its totient is φ = 1093893632.

The previous prime is 3349113671. The next prime is 3349113689. The reversal of 3349113672 is 2763119433.

It is a super-2 number, since 2×33491136722 = 22433124775954647168, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3349113672.

It is not an unprimeable number, because it can be changed into a prime (3349113671) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1516393 + ... + 1518599.

It is an arithmetic number, because the mean of its divisors is an integer number (133465320).

Almost surely, 23349113672 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 3349113672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4270890240).

3349113672 is an abundant number, since it is smaller than the sum of its proper divisors (5192666808).

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

3349113672 is a wasteful number, since it uses less digits than its factorization.

3349113672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3462 (or 3458 counting only the distinct ones).

The product of its digits is 81648, while the sum is 39.

The square root of 3349113672 is about 57871.5272997007. The cubic root of 3349113672 is about 1496.1551415741.

The spelling of 3349113672 in words is "three billion, three hundred forty-nine million, one hundred thirteen thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 24 53 106 159 212 318 424 636 1193 1272 2207 2386 3579 4414 4772 6621 7158 8828 9544 13242 14316 17656 26484 28632 52968 63229 116971 126458 189687 233942 252916 350913 379374 467884 505832 701826 758748 935768 1403652 1517496 2632951 2807304 5265902 7898853 10531804 15797706 21063608 31595412 63190824 139546403 279092806 418639209 558185612 837278418 1116371224 1674556836 3349113672