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340221424032 = 25327224108661
BaseRepresentation
bin1001111001101101100…
…01101111000110100000
31012112011121122001220200
410330312301233012200
521033233141032112
6420143501505200
733403001250300
oct4746661570640
91175147561820
10340221424032
11121318140506
1255b2b572200
132610ca29ab9
1412676cab600
158cb3832cdc
hex4f36c6f1a0

340221424032 has 108 divisors (see below), whose sum is σ = 1125464668146. Its totient is φ = 97206117120.

The previous prime is 340221423979. The next prime is 340221424043. The reversal of 340221424032 is 230424122043.

340221424032 is a `hidden beast` number, since 3 + 40 + 2 + 214 + 2 + 403 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 326173485456 + 14047938576 = 571116^2 + 118524^2 .

It is a junction number, because it is equal to n+sod(n) for n = 340221423987 and 340221424005.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 12040219 + ... + 12068442.

Almost surely, 2340221424032 is an apocalyptic number.

340221424032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

340221424032 is an abundant number, since it is smaller than the sum of its proper divisors (785243244114).

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

340221424032 is a wasteful number, since it uses less digits than its factorization.

340221424032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24108691 (or 24108673 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 340221424032 its reverse (230424122043), we get a palindrome (570645546075).

The spelling of 340221424032 in words is "three hundred forty billion, two hundred twenty-one million, four hundred twenty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 72 84 96 98 112 126 144 147 168 196 224 252 288 294 336 392 441 504 588 672 784 882 1008 1176 1568 1764 2016 2352 3528 4704 7056 14112 24108661 48217322 72325983 96434644 144651966 168760627 192869288 216977949 289303932 337521254 385738576 433955898 506281881 578607864 675042508 771477152 867911796 1012563762 1157215728 1181324389 1350085016 1518845643 1735823592 2025127524 2314431456 2362648778 2700170032 3037691286 3471647184 3543973167 4050255048 4725297556 5400340064 6075382572 6943294368 7087946334 8100510096 9450595112 10631919501 12150765144 14175892668 16201020192 18901190224 21263839002 24301530288 28351785336 37802380448 42527678004 48603060576 56703570672 85055356008 113407141344 170110712016 340221424032