Search a number
-
+
340215040 = 2851173331
BaseRepresentation
bin10100010001110…
…100010100000000
3212201011201022001
4110101310110000
51144043340130
653431553344
711300531404
oct2421642400
9781151261
10340215040
11165051660
1295b2b854
135563b499
1433281104
151ed046ca
hex14474500

340215040 has 144 divisors (see below), whose sum is σ = 903905856. Its totient is φ = 121651200.

The previous prime is 340215017. The next prime is 340215061. The reversal of 340215040 is 40512043.

340215040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 340214999 and 340215017.

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, 1027675 + ... + 1028005.

It is an arithmetic number, because the mean of its divisors is an integer number (6277124).

Almost surely, 2340215040 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 340215040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451952928).

340215040 is an abundant number, since it is smaller than the sum of its proper divisors (563690816).

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

340215040 is a wasteful number, since it uses less digits than its factorization.

340215040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 340215040 is about 18444.9190835851. The cubic root of 340215040 is about 698.1003186381.

Adding to 340215040 its reverse (40512043), we get a palindrome (380727083).

The spelling of 340215040 in words is "three hundred forty million, two hundred fifteen thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 73 80 88 110 128 146 160 176 220 256 292 320 331 352 365 440 584 640 662 704 730 803 880 1168 1280 1324 1408 1460 1606 1655 1760 2336 2648 2816 2920 3212 3310 3520 3641 4015 4672 5296 5840 6424 6620 7040 7282 8030 9344 10592 11680 12848 13240 14080 14564 16060 18205 18688 21184 23360 24163 25696 26480 29128 32120 36410 42368 46720 48326 51392 52960 58256 64240 72820 84736 93440 96652 102784 105920 116512 120815 128480 145640 193304 205568 211840 233024 241630 256960 265793 291280 386608 423680 466048 483260 513920 531586 582560 773216 932096 966520 1027840 1063172 1165120 1328965 1546432 1933040 2126344 2330240 2657930 3092864 3866080 4252688 4660480 5315860 6185728 7732160 8505376 10631720 15464320 17010752 21263440 30928640 34021504 42526880 68043008 85053760 170107520 340215040