Search a number
-
+
340290377644 = 227198316746147
BaseRepresentation
bin1001111001110101110…
…00110001011110101100
31012112100102101021111011
410330322320301132230
521033403314041034
6420154403435004
733404466325240
oct4747270613654
91175312337434
10340290377644
11121353057368
1255b4a685a64
13261210c0259
14126820da420
158cb9903864
hex4f3ae317ac

340290377644 has 96 divisors (see below), whose sum is σ = 729389445120. Its totient is φ = 135678100032.

The previous prime is 340290377611. The next prime is 340290377657. The reversal of 340290377644 is 446773092043.

It is a super-2 number, since 2×3402903776442 (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 31 ways as a sum of consecutive naturals, for example, 7350979 + ... + 7397125.

It is an arithmetic number, because the mean of its divisors is an integer number (7597806720).

Almost surely, 2340290377644 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 340290377644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364694722560).

340290377644 is an abundant number, since it is smaller than the sum of its proper divisors (389099067476).

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

340290377644 is a wasteful number, since it uses less digits than its factorization.

340290377644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46427 (or 46425 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 49.

The spelling of 340290377644 in words is "three hundred forty billion, two hundred ninety million, three hundred seventy-seven thousand, six hundred forty-four".

Divisors: 1 2 4 7 14 19 28 38 76 83 133 166 167 266 332 334 532 581 668 1162 1169 1577 2324 2338 3154 3173 4676 6308 6346 11039 12692 13861 22078 22211 27722 44156 44422 46147 55444 88844 92294 97027 184588 194054 263359 323029 388108 526718 646058 876793 1053436 1292116 1753586 1843513 3507172 3687026 3830201 6137551 7374052 7660402 7706549 12275102 15320804 15413098 24550204 26811407 30826196 53622814 53945843 72773819 107245628 107891686 145547638 146424431 215783372 291095276 292848862 509416733 585697724 639643567 1018833466 1024971017 1279287134 2037666932 2049942034 2558574268 4099884068 4477504969 8955009938 12153227773 17910019876 24306455546 48612911092 85072594411 170145188822 340290377644