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340313532030 = 2355311450311
BaseRepresentation
bin1001111001111000100…
…01000110011001111110
31012112102000221122100000
410330330101012121332
521033430231011110
6420200552015130
733405200202603
oct4747421063176
91175360848300
10340313532030
1112136513161a
1255b563914a6
1326125b39384
14126852066aa
158cbb9791c0
hex4f3c44667e

340313532030 has 96 divisors (see below), whose sum is σ = 920538597888. Its totient is φ = 90458272800.

The previous prime is 340313531981. The next prime is 340313532101. The reversal of 340313532030 is 30235313043.

It is a happy number.

340313532030 is a `hidden beast` number, since 3 + 403 + 1 + 3 + 53 + 203 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 340313531985 and 340313532003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 530575 + ... + 980885.

It is an arithmetic number, because the mean of its divisors is an integer number (9588943728).

Almost surely, 2340313532030 is an apocalyptic number.

340313532030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 340313532030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460269298944).

340313532030 is an abundant number, since it is smaller than the sum of its proper divisors (580225065858).

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

340313532030 is a wasteful number, since it uses less digits than its factorization.

340313532030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450644 (or 450632 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 27.

Adding to 340313532030 its reverse (30235313043), we get a palindrome (370548845073).

The spelling of 340313532030 in words is "three hundred forty billion, three hundred thirteen million, five hundred thirty-two thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 243 270 311 405 486 622 810 933 1215 1555 1866 2430 2799 3110 4665 5598 8397 9330 13995 16794 25191 27990 41985 50382 75573 83970 125955 151146 251910 377865 450311 755730 900622 1350933 2251555 2701866 4052799 4503110 6754665 8105598 12158397 13509330 20263995 24316794 36475191 40527990 60791985 72950382 109425573 121583970 140046721 182375955 218851146 280093442 364751910 420140163 547127865 700233605 840280326 1094255730 1260420489 1400467210 2100700815 2520840978 3781261467 4201401630 6302102445 7562522934 11343784401 12604204890 18906307335 22687568802 34031353203 37812614670 56718922005 68062706406 113437844010 170156766015 340313532030