Search a number
-
+
3340007077 = 112321015683
BaseRepresentation
bin1100011100010100…
…0111011010100101
322121202210221100211
43013011013122211
523320020211302
61311231535421
7145524406651
oct30705073245
98552727324
103340007077
11146438a830
1279268a571
13412c7c164
14239831a61
15148356ad7
hexc71476a5

3340007077 has 24 divisors (see below), whose sum is σ = 3847340448. Its totient is φ = 2875092000.

The previous prime is 3340007039. The next prime is 3340007137. The reversal of 3340007077 is 7707000433.

3340007077 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-3340007077 is a prime.

It is a super-4 number, since 4×33400070774 (a number of 39 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3340007977) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 584878 + ... + 590560.

It is an arithmetic number, because the mean of its divisors is an integer number (160305852).

Almost surely, 23340007077 is an apocalyptic number.

It is an amenable number.

3340007077 is a deficient number, since it is larger than the sum of its proper divisors (507333371).

3340007077 is a wasteful number, since it uses less digits than its factorization.

3340007077 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5841 (or 5818 counting only the distinct ones).

The product of its (nonzero) digits is 12348, while the sum is 31.

The square root of 3340007077 is about 57792.7943345881. The cubic root of 3340007077 is about 1494.7978424875.

The spelling of 3340007077 in words is "three billion, three hundred forty million, seven thousand, seventy-seven".

Divisors: 1 11 23 101 253 529 1111 2323 5683 5819 25553 53429 62513 130709 573983 587719 1437799 3006307 6313813 13201609 33069377 145217699 303637007 3340007077