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340301312 = 2913294143
BaseRepresentation
bin10100010010001…
…001011000000000
3212201100002122022
4110102021120000
51144104120222
653433501012
711301341051
oct2422113000
9781302568
10340301312
1116510045a
1295b71768
135566b830
14332a4728
151ed20042
hex14489600

340301312 has 160 divisors (see below), whose sum is σ = 794011680. Its totient is φ = 144506880.

The previous prime is 340301309. The next prime is 340301323. The reversal of 340301312 is 213103043.

It is a happy number.

It is a congruent number.

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, 7913963 + ... + 7914005.

It is an arithmetic number, because the mean of its divisors is an integer number (4962573).

Almost surely, 2340301312 is an apocalyptic number.

340301312 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 340301312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397005840).

340301312 is an abundant number, since it is smaller than the sum of its proper divisors (453710368).

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

340301312 is a wasteful number, since it uses less digits than its factorization.

340301312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 340301312 is about 18447.2575739593. The cubic root of 340301312 is about 698.1593219288.

Adding to 340301312 its reverse (213103043), we get a palindrome (553404355).

The spelling of 340301312 in words is "three hundred forty million, three hundred one thousand, three hundred twelve".

Divisors: 1 2 4 8 13 16 26 29 32 41 43 52 58 64 82 86 104 116 128 164 172 208 232 256 328 344 377 416 464 512 533 559 656 688 754 832 928 1066 1118 1189 1247 1312 1376 1508 1664 1763 1856 2132 2236 2378 2494 2624 2752 3016 3328 3526 3712 4264 4472 4756 4988 5248 5504 6032 6656 7052 7424 8528 8944 9512 9976 10496 11008 12064 14104 14848 15457 16211 17056 17888 19024 19952 20992 22016 22919 24128 28208 30914 32422 34112 35776 38048 39904 45838 48256 51127 56416 61828 64844 68224 71552 76096 79808 91676 96512 102254 112832 123656 129688 136448 143104 152192 159616 183352 193024 204508 225664 247312 259376 272896 286208 304384 319232 366704 409016 451328 494624 518752 608768 638464 664651 733408 818032 902656 989248 1037504 1329302 1466816 1636064 1978496 2075008 2658604 2933632 3272128 3956992 4150016 5317208 5867264 6544256 7913984 8300032 10634416 11734528 13088512 21268832 26177024 42537664 85075328 170150656 340301312