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344107410740 = 22595211807097
BaseRepresentation
bin1010000000111100110…
…01100110010100110100
31012220012102210122112022
411000132121212110310
521114212444120430
6422025240012312
733601205505512
oct5003631462464
91186172718468
10344107410740
11122a31731875
1256834a61098
13265abb3c512
14129250234b2
158e3ea864e5
hex501e666534

344107410740 has 24 divisors (see below), whose sum is σ = 722701860552. Its totient is φ = 137628431360.

The previous prime is 344107410727. The next prime is 344107410761. The reversal of 344107410740 is 47014701443.

It can be written as a sum of positive squares in 4 ways, for example, as 101362003876 + 242745406864 = 318374^2 + 492692^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 344107410740.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 713129 + ... + 1093968.

It is an arithmetic number, because the mean of its divisors is an integer number (30112577523).

Almost surely, 2344107410740 is an apocalyptic number.

It is an amenable number.

344107410740 is an abundant number, since it is smaller than the sum of its proper divisors (378594449812).

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

344107410740 is a wasteful number, since it uses less digits than its factorization.

344107410740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1816627 (or 1816625 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 35.

The spelling of 344107410740 in words is "three hundred forty-four billion, one hundred seven million, four hundred ten thousand, seven hundred forty".

Divisors: 1 2 4 5 10 20 9521 19042 38084 47605 95210 190420 1807097 3614194 7228388 9035485 18070970 36141940 17205370537 34410741074 68821482148 86026852685 172053705370 344107410740