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3330041040 = 243259747681
BaseRepresentation
bin1100011001111100…
…0110010011010000
322121002001121112100
43012133012103100
523304442303130
61310234200400
7145343611314
oct30637062320
98532047470
103330041040
1114597a3137
1278b283100
13410b9cbb1
14238399b44
15147538c60
hexc67c64d0

3330041040 has 120 divisors (see below), whose sum is σ = 11298917448. Its totient is φ = 878837760.

The previous prime is 3330041027. The next prime is 3330041047. The reversal of 3330041040 is 401400333.

It can be written as a sum of positive squares in 4 ways, for example, as 54997056 + 3275043984 = 7416^2 + 57228^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×33300410402 = 22178346656168563200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3330041047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46000 + ... + 93680.

Almost surely, 23330041040 is an apocalyptic number.

3330041040 is a gapful number since it is divisible by the number (30) 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 3330041040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5649458724).

3330041040 is an abundant number, since it is smaller than the sum of its proper divisors (7968876408).

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

3330041040 is a wasteful number, since it uses less digits than its factorization.

3330041040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47797 (or 47788 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 3330041040 is about 57706.5077785859. The cubic root of 3330041040 is about 1493.3096168817.

Adding to 3330041040 its reverse (401400333), we get a palindrome (3731441373).

The spelling of 3330041040 in words is "three billion, three hundred thirty million, forty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 97 120 144 180 194 240 291 360 388 485 582 720 776 873 970 1164 1455 1552 1746 1940 2328 2910 3492 3880 4365 4656 5820 6984 7760 8730 11640 13968 17460 23280 34920 47681 69840 95362 143043 190724 238405 286086 381448 429129 476810 572172 715215 762896 858258 953620 1144344 1430430 1716516 1907240 2145645 2288688 2860860 3433032 3814480 4291290 4625057 5721720 6866064 8582580 9250114 11443440 13875171 17165160 18500228 23125285 27750342 34330320 37000456 41625513 46250570 55500684 69375855 74000912 83251026 92501140 111001368 138751710 166502052 185002280 208127565 222002736 277503420 333004104 370004560 416255130 555006840 666008208 832510260 1110013680 1665020520 3330041040