Search a number
-
+
340306093344 = 25374259118903
BaseRepresentation
bin1001111001110111101…
…00101110010100100000
31012112101111221201101010
410330323310232110200
521033421324441334
6420200124340520
733405050031510
oct4747364562440
91175344851333
10340306093344
11121360a10848
1255b539a4740
1326124433599
141268422b840
158cbaeaa0e9
hex4f3bd2e520

340306093344 has 96 divisors (see below), whose sum is σ = 1021166576640. Its totient is φ = 97206665472.

The previous prime is 340306093327. The next prime is 340306093367. The reversal of 340306093344 is 443390603043.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×3403060933442 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2802597 + ... + 2921499.

It is an arithmetic number, because the mean of its divisors is an integer number (10637151840).

Almost surely, 2340306093344 is an apocalyptic number.

It is an amenable number.

340306093344 is an abundant number, since it is smaller than the sum of its proper divisors (680860483296).

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

340306093344 is a wasteful number, since it uses less digits than its factorization.

340306093344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123182 (or 123174 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 39.

Adding to 340306093344 its reverse (443390603043), we get a palindrome (783696696387).

The spelling of 340306093344 in words is "three hundred forty billion, three hundred six million, ninety-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 4259 8518 12777 17036 25554 29813 34072 51108 59626 68144 89439 102216 118903 119252 136288 178878 204432 237806 238504 356709 357756 408864 475612 477008 713418 715512 832321 951224 954016 1426836 1431024 1664642 1902448 2496963 2853672 2862048 3329284 3804896 4993926 5707344 6658568 9987852 11414688 13317136 19975704 26634272 39951408 79902816 506407877 1012815754 1519223631 2025631508 3038447262 3544855139 4051263016 6076894524 7089710278 8102526032 10634565417 12153789048 14179420556 16205052064 21269130834 24307578096 28358841112 42538261668 48615156192 56717682224 85076523336 113435364448 170153046672 340306093344