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340323041120 = 2552997756139
BaseRepresentation
bin1001111001111001101…
…01010111111101100000
31012112102200211202100112
410330330311113331200
521033440144303440
6420201531510452
733405344056106
oct4747465277540
91175380752315
10340323041120
1112136a536977
1255b595b8428
1326127ab865a
141268659dc76
158cbc706965
hex4f3cd57f60

340323041120 has 96 divisors (see below), whose sum is σ = 840313504800. Its totient is φ = 130079932416.

The previous prime is 340323041119. The next prime is 340323041137. The reversal of 340323041120 is 21140323043.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72011 + ... + 828149.

It is an arithmetic number, because the mean of its divisors is an integer number (8753265675).

Almost surely, 2340323041120 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 340323041120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420156752400).

340323041120 is an abundant number, since it is smaller than the sum of its proper divisors (499990463680).

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

340323041120 is a wasteful number, since it uses less digits than its factorization.

340323041120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 756280 (or 756272 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 340323041120 its reverse (21140323043), we get a palindrome (361463364163).

The spelling of 340323041120 in words is "three hundred forty billion, three hundred twenty-three million, forty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 80 97 116 145 160 194 232 290 388 464 485 580 776 928 970 1160 1552 1940 2320 2813 3104 3880 4640 5626 7760 11252 14065 15520 22504 28130 45008 56260 90016 112520 225040 450080 756139 1512278 3024556 3780695 6049112 7561390 12098224 15122780 21928031 24196448 30245560 43856062 60491120 73345483 87712124 109640155 120982240 146690966 175424248 219280310 293381932 350848496 366727415 438560620 586763864 701696992 733454830 877121240 1173527728 1466909660 1754242480 2127019007 2347055456 2933819320 3508484960 4254038014 5867638640 8508076028 10635095035 11735277280 17016152056 21270190070 34032304112 42540380140 68064608224 85080760280 170161520560 340323041120