Search a number
-
+
68342610 = 2357503647
BaseRepresentation
bin1000001001011…
…01001101010010
311202121011102210
410010231031102
5114443430420
610440452550
71456621410
oct404551522
9152534383
1068342610
11356398a6
121aa7a156
131120b31b
1491102b0
155eee9e0
hex412d352

68342610 has 64 divisors (see below), whose sum is σ = 188116992. Its totient is φ = 15566016.

The previous prime is 68342581. The next prime is 68342623. The reversal of 68342610 is 1624386.

It is a super-2 number, since 2×683426102 = 9341424683224200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 105307 + ... + 105953.

It is an arithmetic number, because the mean of its divisors is an integer number (2939328).

Almost surely, 268342610 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68342610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94058496).

68342610 is an abundant number, since it is smaller than the sum of its proper divisors (119774382).

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

68342610 is a wasteful number, since it uses less digits than its factorization.

68342610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1167.

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 68342610 is about 8266.9589330055. The cubic root of 68342610 is about 408.8498601044.

Adding to 68342610 its reverse (1624386), we get a palindrome (69966996).

The spelling of 68342610 in words is "sixty-eight million, three hundred forty-two thousand, six hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 503 647 1006 1294 1509 1941 2515 3018 3235 3521 3882 4529 5030 6470 7042 7545 9058 9705 10563 13587 15090 17605 19410 21126 22645 27174 35210 45290 52815 67935 105630 135870 325441 650882 976323 1627205 1952646 2278087 3254410 4556174 4881615 6834261 9763230 11390435 13668522 22780870 34171305 68342610