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4235130306 = 2331117341213
BaseRepresentation
bin1111110001101110…
…1111010111000010
3101221011010220121000
43330123233113002
532133143132211
61540125312430
7206644004451
oct37433572702
911834126530
104235130306
1118836910a0
129a2405716
13526558b84
142c267cb98
1519bc1d656
hexfc6ef5c2

4235130306 has 64 divisors (see below), whose sum is σ = 10326579840. Its totient is φ = 1275923520.

The previous prime is 4235130247. The next prime is 4235130311. The reversal of 4235130306 is 6030315324.

It is a happy number.

4235130306 is a `hidden beast` number, since 4 + 2 + 351 + 3 + 0 + 306 = 666.

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

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 4235130306.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82156 + ... + 123368.

It is an arithmetic number, because the mean of its divisors is an integer number (161352810).

Almost surely, 24235130306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4235130306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5163289920).

4235130306 is an abundant number, since it is smaller than the sum of its proper divisors (6091449534).

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

4235130306 is a wasteful number, since it uses less digits than its factorization.

4235130306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41408 (or 41402 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 4235130306 is about 65077.8787761248. The cubic root of 4235130306 is about 1617.9145937257.

The spelling of 4235130306 in words is "four billion, two hundred thirty-five million, one hundred thirty thousand, three hundred six".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 173 198 297 346 519 594 1038 1557 1903 3114 3806 4671 5709 9342 11418 17127 34254 41213 51381 82426 102762 123639 247278 370917 453343 741834 906686 1112751 1360029 2225502 2720058 4080087 7129849 8160174 12240261 14259698 21389547 24480522 42779094 64168641 78428339 128337282 156856678 192505923 235285017 385011846 470570034 705855051 1411710102 2117565153 4235130306