Search a number
-
+
340766667776 = 2106126320743
BaseRepresentation
bin1001111010101110100…
…01101011010000000000
31012120120121121022201102
410331113101223100000
521040342231332101
6420313540153532
733422341612223
oct4752721532000
91176517538642
10340766667776
1112157799a177
12560620988a8
1326198993432
14126c947d5ba
158ce663686b
hex4f5746b400

340766667776 has 88 divisors (see below), whose sum is σ = 695033860224. Its totient is φ = 166944890880.

The previous prime is 340766667733. The next prime is 340766667803. The reversal of 340766667776 is 677766667043.

It is a super-2 number, since 2×3407666677762 (a number of 24 digits) contains 22 as substring.

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, 16417661 + ... + 16438403.

It is an arithmetic number, because the mean of its divisors is an integer number (7898112048).

Almost surely, 2340766667776 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 340766667776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347516930112).

340766667776 is an abundant number, since it is smaller than the sum of its proper divisors (354267192448).

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

340766667776 is a wasteful number, since it uses less digits than its factorization.

340766667776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21087 (or 21069 counting only the distinct ones).

The product of its (nonzero) digits is 224042112, while the sum is 65.

The spelling of 340766667776 in words is "three hundred forty billion, seven hundred sixty-six million, six hundred sixty-seven thousand, seven hundred seventy-six".

Divisors: 1 2 4 8 16 32 61 64 122 128 244 256 263 488 512 526 976 1024 1052 1952 2104 3904 4208 7808 8416 15616 16043 16832 20743 31232 32086 33664 41486 62464 64172 67328 82972 128344 134656 165944 256688 269312 331888 513376 663776 1026752 1265323 1327552 2053504 2530646 2655104 4107008 5061292 5310208 5455409 8214016 10122584 10620416 10910818 16428032 20245168 21240832 21821636 40490336 43643272 80980672 87286544 161961344 174573088 323922688 332779949 349146176 647845376 665559898 698292352 1295690752 1331119796 1396584704 2662239592 2793169408 5324479184 5586338816 10648958368 21297916736 42595833472 85191666944 170383333888 340766667776