Search a number
-
+
3365486136 = 2332471935153
BaseRepresentation
bin1100100010011001…
…0011111000111000
322200112202102001200
43020212103320320
523343031024021
61313542014200
7146254105635
oct31046237070
98615672050
103365486136
111477802601
1279b117360
1341833041c
1423cd8518c
1514a6db126
hexc8993e38

3365486136 has 96 divisors (see below), whose sum is σ = 9358839360. Its totient is φ = 1092059136.

The previous prime is 3365486129. The next prime is 3365486147. The reversal of 3365486136 is 6316845633.

3365486136 is a `hidden beast` number, since 3 + 36 + 5 + 486 + 136 = 666.

It is a super-2 number, since 2×33654861362 = 22652993863216420992, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3365486091 and 3365486100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 650536 + ... + 655688.

It is an arithmetic number, because the mean of its divisors is an integer number (97487910).

Almost surely, 23365486136 is an apocalyptic number.

3365486136 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3365486136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4679419680).

3365486136 is an abundant number, since it is smaller than the sum of its proper divisors (5993353224).

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

3365486136 is a wasteful number, since it uses less digits than its factorization.

3365486136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5405 (or 5398 counting only the distinct ones).

The product of its digits is 933120, while the sum is 45.

The square root of 3365486136 is about 58012.8101025972. The cubic root of 3365486136 is about 1498.5892122012.

The spelling of 3365486136 in words is "three billion, three hundred sixty-five million, four hundred eighty-six thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 47 72 94 141 188 193 282 376 386 423 564 579 772 846 1128 1158 1544 1692 1737 2316 3384 3474 4632 5153 6948 9071 10306 13896 15459 18142 20612 27213 30918 36284 41224 46377 54426 61836 72568 81639 92754 108852 123672 163278 185508 217704 242191 326556 371016 484382 653112 726573 968764 994529 1453146 1937528 1989058 2179719 2906292 2983587 3978116 4359438 5812584 5967174 7956232 8718876 8950761 11934348 17437752 17901522 23868696 35803044 46742863 71606088 93485726 140228589 186971452 280457178 373942904 420685767 560914356 841371534 1121828712 1682743068 3365486136