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3365362420 = 2257292101283
BaseRepresentation
bin1100100010010111…
…0101101011110100
322200112112010100121
43020211311223310
523343013044140
61313535221324
7146253052150
oct31045655364
98615463317
103365362420
111477728662
1279b077844
134182b9014
1423cd52060
1514a6b464a
hexc8975af4

3365362420 has 144 divisors (see below), whose sum is σ = 8477659008. Its totient is φ = 1099123200.

The previous prime is 3365362409. The next prime is 3365362421. The reversal of 3365362420 is 242635633.

It is a super-2 number, since 2×33653624202 = 22651328435896512800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3365362421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11891599 + ... + 11891881.

It is an arithmetic number, because the mean of its divisors is an integer number (58872632).

Almost surely, 23365362420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3365362420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4238829504).

3365362420 is an abundant number, since it is smaller than the sum of its proper divisors (5112296588).

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

3365362420 is a wasteful number, since it uses less digits than its factorization.

3365362420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 34.

The square root of 3365362420 is about 58011.7438110595. The cubic root of 3365362420 is about 1498.5708491547.

The spelling of 3365362420 in words is "three billion, three hundred sixty-five million, three hundred sixty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 58 70 101 116 140 145 202 203 283 290 404 406 505 566 580 707 812 841 1010 1015 1132 1414 1415 1682 1981 2020 2030 2828 2830 2929 3364 3535 3962 4060 4205 5660 5858 5887 7070 7924 8207 8410 9905 11716 11774 14140 14645 16414 16820 19810 20503 23548 28583 29290 29435 32828 39620 41006 41035 57166 57449 58580 58870 82012 82070 84941 102515 114332 114898 117740 142915 164140 169882 200081 205030 229796 238003 285830 287245 339764 400162 410060 424705 476006 571660 574490 594587 800324 828907 849410 952012 1000405 1148980 1189174 1190015 1657814 1666021 1698820 2000810 2378348 2380030 2972935 3315628 3332042 4001620 4144535 4760060 5802349 5945870 6664084 8289070 8330105 11604698 11891740 16578140 16660210 23209396 24038303 29011745 33320420 48076606 58023490 96153212 116046980 120191515 168268121 240383030 336536242 480766060 673072484 841340605 1682681210 3365362420