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340515414 = 2352341743
BaseRepresentation
bin10100010010111…
…101101001010110
3212201201222100000
4110102331221112
51144132443124
653442232130
711303222211
oct2422755126
9781658300
10340515414
111652372a8
1296055646
1355715115
143331c778
151ed636c9
hex144bda56

340515414 has 96 divisors (see below), whose sum is σ = 818947584. Its totient is φ = 105779520.

The previous prime is 340515367. The next prime is 340515431. The reversal of 340515414 is 414515043.

It is a happy number.

It is a super-3 number, since 3×3405154143 (a number of 27 digits) contains 333 as substring.

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

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, 457927 + ... + 458669.

It is an arithmetic number, because the mean of its divisors is an integer number (8530704).

Almost surely, 2340515414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 340515414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409473792).

340515414 is an abundant number, since it is smaller than the sum of its proper divisors (478432170).

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

340515414 is a wasteful number, since it uses less digits than its factorization.

340515414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 824 (or 812 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 340515414 is about 18453.0597462860. The cubic root of 340515414 is about 698.3057078567.

The spelling of 340515414 in words is "three hundred forty million, five hundred fifteen thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 18 23 27 41 46 54 69 81 82 123 138 162 207 243 246 369 414 486 621 738 743 943 1107 1242 1486 1863 1886 2214 2229 2829 3321 3726 4458 5589 5658 6642 6687 8487 9963 11178 13374 16974 17089 19926 20061 25461 30463 34178 40122 50922 51267 60183 60926 76383 91389 102534 120366 152766 153801 180549 182778 229149 274167 307602 361098 458298 461403 548334 700649 822501 922806 1384209 1401298 1645002 2101947 2467503 2768418 4152627 4203894 4935006 6305841 7402509 8305254 12611682 14805018 18917523 37835046 56752569 113505138 170257707 340515414