Search a number
-
+
3366193140 = 2234519109363
BaseRepresentation
bin1100100010100100…
…0000011111110100
322200121002022220000
43020221000133310
523343221140030
61314005111300
7146263112112
oct31051003764
98617068800
103366193140
111478145802
1279b3b8530
1341851a17b
1423d0caab2
1514a7ca860
hexc8a407f4

3366193140 has 120 divisors (see below), whose sum is σ = 11115756960. Its totient is φ = 850398912.

The previous prime is 3366193133. The next prime is 3366193147. The reversal of 3366193140 is 413916633.

3366193140 is a `hidden beast` number, since 3 + 3 + 6 + 619 + 31 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3366193133) and next prime (3366193147).

It is a super-2 number, since 2×33661931402 = 22662512511566119200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3366193095 and 3366193104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3366193147) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 23902 + ... + 85461.

It is an arithmetic number, because the mean of its divisors is an integer number (92631308).

Almost surely, 23366193140 is an apocalyptic number.

3366193140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3366193140 is an abundant number, since it is smaller than the sum of its proper divisors (7749563820).

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

3366193140 is a wasteful number, since it uses less digits than its factorization.

3366193140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109403 (or 109392 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 3366193140 is about 58018.9032988387. The cubic root of 3366193140 is about 1498.6941434891.

The spelling of 3366193140 in words is "three billion, three hundred sixty-six million, one hundred ninety-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 27 30 36 38 45 54 57 60 76 81 90 95 108 114 135 162 171 180 190 228 270 285 324 342 380 405 513 540 570 684 810 855 1026 1140 1539 1620 1710 2052 2565 3078 3420 5130 6156 7695 10260 15390 30780 109363 218726 328089 437452 546815 656178 984267 1093630 1312356 1640445 1968534 2077897 2187260 2952801 3280890 3937068 4155794 4921335 5905602 6233691 6561780 8311588 8858403 9842670 10389485 11811204 12467382 14764005 17716806 18701073 19685340 20778970 24934764 29528010 31168455 35433612 37402146 41557940 44292015 56103219 59056020 62336910 74804292 88584030 93505365 112206438 124673820 168309657 177168060 187010730 224412876 280516095 336619314 374021460 561032190 673238628 841548285 1122064380 1683096570 3366193140