Search a number
-
+
3740467668 = 223779563663
BaseRepresentation
bin1101111011110011…
…0000000111010100
3100122200100110000120
43132330300013110
530130024431133
61415055111540
7161456310360
oct33674600724
910580313016
103740467668
11164a43a7a3
128848125b0
13477c222a2
14276ab62a0
1516d5abab3
hexdef301d4

3740467668 has 48 divisors (see below), whose sum is σ = 10100858880. Its totient is φ = 1055175264.

The previous prime is 3740467649. The next prime is 3740467669. The reversal of 3740467668 is 8667640473.

It is a super-3 number, since 3×37404676683 (a number of 30 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3740467668.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3740467669) 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, 275196 + ... + 288467.

It is an arithmetic number, because the mean of its divisors is an integer number (210434560).

Almost surely, 23740467668 is an apocalyptic number.

It is an amenable number.

3740467668 is an abundant number, since it is smaller than the sum of its proper divisors (6360391212).

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

3740467668 is a wasteful number, since it uses less digits than its factorization.

3740467668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563756 (or 563754 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 51.

The square root of 3740467668 is about 61159.3628809195. The cubic root of 3740467668 is about 1552.2987283450.

The spelling of 3740467668 in words is "three billion, seven hundred forty million, four hundred sixty-seven thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 79 84 158 237 316 474 553 948 1106 1659 2212 3318 6636 563663 1127326 1690989 2254652 3381978 3945641 6763956 7891282 11836923 15782564 23673846 44529377 47347692 89058754 133588131 178117508 267176262 311705639 534352524 623411278 935116917 1246822556 1870233834 3740467668