Search a number
-
+
3364040835 = 3351723101631
BaseRepresentation
bin1100100010000011…
…0011000010000011
322200110000222111000
43020200303002003
523342143301320
61313451023043
7146235606141
oct31040630203
98613028430
103364040835
111476a05741
1279a73aa83
13417c4560c
1423caca591
1514a502c90
hexc8833083

3364040835 has 128 divisors (see below), whose sum is σ = 6683627520. Its totient is φ = 1596672000.

The previous prime is 3364040807. The next prime is 3364040843. The reversal of 3364040835 is 5380404633.

3364040835 is a `hidden beast` number, since 3 + 3 + 640 + 4 + 0 + 8 + 3 + 5 = 666.

It is not a de Polignac number, because 3364040835 - 28 = 3364040579 is a prime.

It is a super-2 number, since 2×33640408352 = 22633541479094994450, which contains 22 as substring.

It is a zygodrome in base 3.

It is a self number, because there is not a number n which added to its sum of digits gives 3364040835.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5330970 + ... + 5331600.

It is an arithmetic number, because the mean of its divisors is an integer number (52215840).

Almost surely, 23364040835 is an apocalyptic number.

3364040835 is a deficient number, since it is larger than the sum of its proper divisors (3319586685).

3364040835 is a wasteful number, since it uses less digits than its factorization.

3364040835 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 786 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 3364040835 is about 58000.3520247938. The cubic root of 3364040835 is about 1498.3746594816.

The spelling of 3364040835 in words is "three billion, three hundred sixty-four million, forty thousand, eight hundred thirty-five".

Divisors: 1 3 5 9 15 17 23 27 45 51 69 85 101 115 135 153 207 255 303 345 391 459 505 621 631 765 909 1035 1173 1515 1717 1893 1955 2295 2323 2727 3105 3155 3519 4545 5151 5679 5865 6969 8585 9465 10557 10727 11615 13635 14513 15453 17037 17595 20907 25755 28395 32181 34845 39491 43539 46359 52785 53635 62721 63731 72565 77265 85185 96543 104535 118473 130617 160905 191193 197455 217695 231795 246721 289629 313605 318655 355419 391851 482715 573579 592365 653085 740163 955965 1066257 1083427 1233605 1448145 1465813 1720737 1777095 1959255 2220489 2867895 3250281 3700815 4397439 5331285 5417135 6661467 7329065 8603685 9750843 11102445 13192317 16251405 21987195 24918821 29252529 33307335 39576951 48754215 65961585 74756463 124594105 146262645 197884755 224269389 373782315 672808167 1121346945 3364040835