Search a number
-
+
342980920116 = 22329527247781
BaseRepresentation
bin1001111110110110100…
…00011000001100110100
31012210021221002222220100
410333123100120030310
521104411103420431
6421321355234100
733531246501342
oct4773320301464
91183257088810
10342980920116
1112250387378a
125657b748930
132645c645013
141285958a992
158dc5c1b4e6
hex4fdb418334

342980920116 has 18 divisors (see below), whose sum is σ = 866979548162. Its totient is φ = 114326973360.

The previous prime is 342980920111. The next prime is 342980920157. The reversal of 342980920116 is 611029089243.

342980920116 is a `hidden beast` number, since 3 + 429 + 8 + 0 + 9 + 201 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 238587310116 + 104393610000 = 488454^2 + 323100^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342980920111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4763623855 + ... + 4763623926.

Almost surely, 2342980920116 is an apocalyptic number.

342980920116 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

342980920116 is an abundant number, since it is smaller than the sum of its proper divisors (523998628046).

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

342980920116 is a wasteful number, since it uses less digits than its factorization.

342980920116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9527247791 (or 9527247786 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 342980920116 in words is "three hundred forty-two billion, nine hundred eighty million, nine hundred twenty thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 9527247781 19054495562 28581743343 38108991124 57163486686 85745230029 114326973372 171490460058 342980920116