Search a number
-
+
3342979167 = 311217353233
BaseRepresentation
bin1100011101000001…
…1101000001011111
322121222101221022020
43013100131001133
523321300313132
61311415351223
7145561565643
oct30720350137
98558357266
103342979167
11146602a800
12793682513
1341377cba8
14239da6c23
1514874252c
hexc741d05f

3342979167 has 24 divisors (see below), whose sum is σ = 4927764912. Its totient is φ = 2014298880.

The previous prime is 3342979141. The next prime is 3342979169. The reversal of 3342979167 is 7619792433.

3342979167 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3342979167 - 27 = 3342979039 is a prime.

It is a super-3 number, since 3×33429791673 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3342979169) 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, 36183 + ... + 89415.

It is an arithmetic number, because the mean of its divisors is an integer number (205323538).

Almost surely, 23342979167 is an apocalyptic number.

3342979167 is a deficient number, since it is larger than the sum of its proper divisors (1584785745).

3342979167 is a wasteful number, since it uses less digits than its factorization.

3342979167 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53431 (or 53420 counting only the distinct ones).

The product of its digits is 1714608, while the sum is 51.

The square root of 3342979167 is about 57818.5019435820. The cubic root of 3342979167 is about 1495.2410907106.

The spelling of 3342979167 in words is "three billion, three hundred forty-two million, nine hundred seventy-nine thousand, one hundred sixty-seven".

Divisors: 1 3 11 33 121 173 363 519 1903 5709 20933 53233 62799 159699 585563 1756689 6441193 9209309 19323579 27627927 101302399 303907197 1114326389 3342979167