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1006342230 = 235237319979
BaseRepresentation
bin111011111110111…
…001000001010110
32121010121111000110
4323332321001112
54030110422410
6243505223450
733636524235
oct7376710126
92533544013
101006342230
114770658a3
12241031b86
1313064ab9a
149791cb1c
155d535720
hex3bfb9056

1006342230 has 64 divisors (see below), whose sum is σ = 2554882560. Its totient is φ = 253161216.

The previous prime is 1006342213. The next prime is 1006342237. The reversal of 1006342230 is 322436001.

It is a happy number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1006342197 and 1006342206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006342237) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40381 + ... + 60359.

It is an arithmetic number, because the mean of its divisors is an integer number (39920040).

Almost surely, 21006342230 is an apocalyptic number.

1006342230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1006342230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1277441280).

1006342230 is an abundant number, since it is smaller than the sum of its proper divisors (1548540330).

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

1006342230 is a wasteful number, since it uses less digits than its factorization.

1006342230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20085.

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 1006342230 is about 31722.8975662691. The cubic root of 1006342230 is about 1002.1096230277.

Adding to 1006342230 its reverse (322436001), we get a palindrome (1328778231).

The spelling of 1006342230 in words is "one billion, six million, three hundred forty-two thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 73 115 138 146 219 230 345 365 438 690 730 1095 1679 2190 3358 5037 8395 10074 16790 19979 25185 39958 50370 59937 99895 119874 199790 299685 459517 599370 919034 1378551 1458467 2297585 2757102 2916934 4375401 4595170 6892755 7292335 8750802 13785510 14584670 21877005 33544741 43754010 67089482 100634223 167723705 201268446 335447410 503171115 1006342230