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340624493616 = 243112350355763
BaseRepresentation
bin1001111010011101100…
…11010100110000110000
31012120012201002010102210
410331032303110300300
521040044332243431
6420251501012120
733415664265261
oct4751663246060
91176181063383
10340624493616
11121504712670
1256022554040
13261753a4604
14126b4630968
158cd8e00d46
hex4f4ecd4c30

340624493616 has 160 divisors (see below), whose sum is σ = 1003687759872. Its totient is φ = 98533684480.

The previous prime is 340624493603. The next prime is 340624493633. The reversal of 340624493616 is 616394426043.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6080551 + ... + 6136313.

Almost surely, 2340624493616 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 340624493616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501843879936).

340624493616 is an abundant number, since it is smaller than the sum of its proper divisors (663063266256).

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

340624493616 is a wasteful number, since it uses less digits than its factorization.

340624493616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56311 (or 56305 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 48.

The spelling of 340624493616 in words is "three hundred forty billion, six hundred twenty-four million, four hundred ninety-three thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 33 44 46 48 66 69 88 92 132 138 176 184 253 264 276 368 503 506 528 552 759 1006 1012 1104 1509 1518 2012 2024 3018 3036 4024 4048 5533 6036 6072 8048 11066 11569 12072 12144 16599 22132 23138 24144 33198 34707 44264 46276 55763 66396 69414 88528 92552 111526 127259 132792 138828 167289 185104 223052 254518 265584 277656 334578 381777 446104 509036 555312 613393 669156 763554 892208 1018072 1226786 1282549 1338312 1527108 1840179 2036144 2453572 2565098 2676624 3054216 3680358 3847647 4907144 5130196 6108432 7360716 7695294 9814288 10260392 14108039 14721432 15390588 20520784 28048789 28216078 29442864 30781176 42324117 56097578 56432156 61562352 84146367 84648234 112195156 112864312 168292734 169296468 224390312 225728624 308536679 336585468 338592936 448780624 617073358 645122147 673170936 677185872 925610037 1234146716 1290244294 1346341872 1851220074 1935366441 2468293432 2580488588 3702440148 3870732882 4936586864 5160977176 7096343617 7404880296 7741465764 10321954352 14192687234 14809760592 15482931528 21289030851 28385374468 30965863056 42578061702 56770748936 85156123404 113541497872 170312246808 340624493616