Search a number
-
+
2977806342 = 237210128593
BaseRepresentation
bin1011000101111101…
…1011100000000110
321200112021020100210
42301133123200012
522044304300332
61211252420250
7133535636100
oct26137334006
97615236323
102977806342
111298991a85
126b1317686
13385c137b4
142036aa570
1512665cecc
hexb17db806

2977806342 has 24 divisors (see below), whose sum is σ = 6927958296. Its totient is φ = 850801728.

The previous prime is 2977806289. The next prime is 2977806347. The reversal of 2977806342 is 2436087792.

2977806342 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×29778063422 = 17734661220910841928, which contains 22 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2977806291 and 2977806300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2977806347) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5064003 + ... + 5064590.

It is an arithmetic number, because the mean of its divisors is an integer number (288664929).

Almost surely, 22977806342 is an apocalyptic number.

2977806342 is an abundant number, since it is smaller than the sum of its proper divisors (3950151954).

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

2977806342 is a wasteful number, since it uses less digits than its factorization.

2977806342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10128612 (or 10128605 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 48.

The square root of 2977806342 is about 54569.2802041588. The cubic root of 2977806342 is about 1438.6842311742.

The spelling of 2977806342 in words is "two billion, nine hundred seventy-seven million, eight hundred six thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 294 10128593 20257186 30385779 60771558 70900151 141800302 212700453 425400906 496301057 992602114 1488903171 2977806342