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3361191120 = 2433573171101
BaseRepresentation
bin1100100001010111…
…1011010011010000
322200020200012102000
43020111323103100
523340431103440
61313305554000
7146202440010
oct31025732320
98606605360
103361191120
111475339701
127997a5900
134174884b1
1423c587c40
1514a13d730
hexc857b4d0

3361191120 has 640 divisors, whose sum is σ = 13987676160. Its totient is φ = 725760000.

The previous prime is 3361191083. The next prime is 3361191121. The reversal of 3361191120 is 211911633.

3361191120 is a `hidden beast` number, since 33 + 611 + 9 + 1 + 12 + 0 = 666.

It is a super-2 number, since 2×33611911202 = 22595211490333708800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3361191121) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 33279070 + ... + 33279170.

It is an arithmetic number, because the mean of its divisors is an integer number (21855744).

Almost surely, 23361191120 is an apocalyptic number.

3361191120 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 3361191120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6993838080).

3361191120 is an abundant number, since it is smaller than the sum of its proper divisors (10626485040).

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

3361191120 is a wasteful number, since it uses less digits than its factorization.

3361191120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 3361191120 is about 57975.7804604647. The cubic root of 3361191120 is about 1497.9514435513.

It can be divided in two parts, 3361 and 191120, that added together give a 4-th power (194481 = 214).

The spelling of 3361191120 in words is "three billion, three hundred sixty-one million, one hundred ninety-one thousand, one hundred twenty".