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340744381792 = 25376117327271
BaseRepresentation
bin1001111010101011111…
…00101010010101100000
31012120112001200002002121
410331111330222111200
521040321030204132
6420311422354024
733421651312423
oct4752574522540
91176461602077
10340744381792
11121566358401
125605672b914
132619418c669
14126c651b9ba
158ce46d3497
hex4f55f2a560

340744381792 has 96 divisors (see below), whose sum is σ = 704339544384. Its totient is φ = 162101606400.

The previous prime is 340744381753. The next prime is 340744381793. The reversal of 340744381792 is 297183447043.

It is a super-2 number, since 2×3407443817922 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340744381793) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12481117 + ... + 12508387.

It is an arithmetic number, because the mean of its divisors is an integer number (7336870254).

Almost surely, 2340744381792 is an apocalyptic number.

340744381792 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 340744381792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352169772192).

340744381792 is an abundant number, since it is smaller than the sum of its proper divisors (363595162592).

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

340744381792 is a wasteful number, since it uses less digits than its factorization.

340744381792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27552 (or 27544 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 52.

The spelling of 340744381792 in words is "three hundred forty billion, seven hundred forty-four million, three hundred eighty-one thousand, seven hundred ninety-two".

Divisors: 1 2 4 8 16 32 37 61 74 122 148 173 244 296 346 488 592 692 976 1184 1384 1952 2257 2768 4514 5536 6401 9028 10553 12802 18056 21106 25604 27271 36112 42212 51208 54542 72224 84424 102416 109084 168848 204832 218168 337696 390461 436336 780922 872672 1009027 1561844 1663531 2018054 3123688 3327062 4036108 4717883 6247376 6654124 8072216 9435766 12494752 13308248 16144432 18871532 26616496 32288864 37743064 53232992 61550647 75486128 123101294 150972256 174561671 246202588 287790863 349123342 492405176 575581726 698246684 984810352 1151163452 1396493368 1969620704 2302326904 2792986736 4604653808 5585973472 9209307616 10648261931 21296523862 42593047724 85186095448 170372190896 340744381792