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3628721430 = 23653116057
BaseRepresentation
bin1101100001001001…
…1110010100010110
3100100220002011000000
43120102132110112
524412423041210
61400024032130
7155631423525
oct33022362426
910326064000
103628721430
1115a2356134
12853302646
1345aa28159
14265d084bc
15163886ac0
hexd849e516

3628721430 has 112 divisors (see below), whose sum is σ = 10109602944. Its totient is φ = 936385920.

The previous prime is 3628721429. The next prime is 3628721489. The reversal of 3628721430 is 341278263.

It is a happy number.

3628721430 is a `hidden beast` number, since 3 + 628 + 7 + 21 + 4 + 3 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 217962 + ... + 234018.

It is an arithmetic number, because the mean of its divisors is an integer number (90264312).

Almost surely, 23628721430 is an apocalyptic number.

3628721430 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3628721430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5054801472).

3628721430 is an abundant number, since it is smaller than the sum of its proper divisors (6480881514).

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

3628721430 is a wasteful number, since it uses less digits than its factorization.

3628721430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16113 (or 16098 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 3628721430 is about 60238.8697603134. The cubic root of 3628721430 is about 1536.6839071747.

Adding to 3628721430 its reverse (341278263), we get a palindrome (3969999693).

The spelling of 3628721430 in words is "three billion, six hundred twenty-eight million, seven hundred twenty-one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 31 45 54 62 81 90 93 135 155 162 186 243 270 279 310 405 465 486 558 729 810 837 930 1215 1395 1458 1674 2430 2511 2790 3645 4185 5022 7290 7533 8370 12555 15066 16057 22599 25110 32114 37665 45198 48171 75330 80285 96342 112995 144513 160570 225990 240855 289026 433539 481710 497767 722565 867078 995534 1300617 1445130 1493301 2167695 2488835 2601234 2986602 3901851 4335390 4479903 4977670 6503085 7466505 7803702 8959806 11705553 13006170 13439709 14933010 19509255 22399515 23411106 26879418 39018510 40319127 44799030 58527765 67198545 80638254 117055530 120957381 134397090 201595635 241914762 362872143 403191270 604786905 725744286 1209573810 1814360715 3628721430