Search a number
-
+
340884540 = 2232518110463
BaseRepresentation
bin10100010100010…
…111110000111100
3212202102201200100
4110110113300330
51144231301130
653454201100
711306320323
oct2424276074
9782381610
10340884540
11165469667
12961b3190
1355814139
14333b70ba
151edd7c60
hex14517c3c

340884540 has 72 divisors (see below), whose sum is σ = 1039828608. Its totient is φ = 90391680.

The previous prime is 340884539. The next prime is 340884553. The reversal of 340884540 is 45488043.

340884540 is a `hidden beast` number, since 34 + 0 + 8 + 84 + 540 = 666.

It is a super-2 number, since 2×3408845402 = 232404539222023200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 340884495 and 340884504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27349 + ... + 37811.

It is an arithmetic number, because the mean of its divisors is an integer number (14442064).

Almost surely, 2340884540 is an apocalyptic number.

340884540 is a gapful number since it is divisible by the number (30) 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 340884540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519914304).

340884540 is an abundant number, since it is smaller than the sum of its proper divisors (698944068).

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

340884540 is a wasteful number, since it uses less digits than its factorization.

340884540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10659 (or 10654 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 340884540 is about 18463.0587931686. The cubic root of 340884540 is about 698.5579428492.

The spelling of 340884540 in words is "three hundred forty million, eight hundred eighty-four thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 181 362 543 724 905 1086 1629 1810 2172 2715 3258 3620 5430 6516 8145 10463 10860 16290 20926 31389 32580 41852 52315 62778 94167 104630 125556 156945 188334 209260 313890 376668 470835 627780 941670 1883340 1893803 3787606 5681409 7575212 9469015 11362818 17044227 18938030 22725636 28407045 34088454 37876060 56814090 68176908 85221135 113628180 170442270 340884540