Search a number
-
+
340828927110 = 23257277285471
BaseRepresentation
bin1001111010110101111…
…11001011010010000110
31012120201221202102110200
410331122333023102012
521041004201131420
6420324042431330
733424026036300
oct4753277132206
91176657672420
10340828927110
111215aa053571
125607ab02546
13261a8851889
14126d3848970
158cebd33b90
hex4f5afcb486

340828927110 has 72 divisors (see below), whose sum is σ = 1030833625536. Its totient is φ = 77903753760.

The previous prime is 340828927079. The next prime is 340828927111. The reversal of 340828927110 is 11729828043.

It is a happy number.

340828927110 is a `hidden beast` number, since 340 + 8 + 28 + 9 + 271 + 10 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340828927111) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 38638326 + ... + 38647145.

It is an arithmetic number, because the mean of its divisors is an integer number (14317133688).

Almost surely, 2340828927110 is an apocalyptic number.

340828927110 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

340828927110 is an abundant number, since it is smaller than the sum of its proper divisors (690004698426).

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

340828927110 is a wasteful number, since it uses less digits than its factorization.

340828927110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77285498 (or 77285488 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 340828927110 in words is "three hundred forty billion, eight hundred twenty-eight million, nine hundred twenty-seven thousand, one hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 49 63 70 90 98 105 126 147 210 245 294 315 441 490 630 735 882 1470 2205 4410 77285471 154570942 231856413 386427355 463712826 540998297 695569239 772854710 1081996594 1159282065 1391138478 1622994891 2318564130 2704991485 3245989782 3477846195 3786988079 4868984673 5409982970 6955692390 7573976158 8114974455 9737969346 11360964237 16229948910 18934940395 22721928474 24344923365 34082892711 37869880790 48689846730 56804821185 68165785422 113609642370 170414463555 340828927110