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3411394560 = 2143257661
BaseRepresentation
bin1100101101010101…
…1100000000000000
322210202010210120200
43023111130000000
523441304111220
61322302005200
7150352242510
oct31325340000
98722123520
103411394560
1114a0709252
127b2576800
134249b5382
142450d5840
1514e758890
hexcb55c000

3411394560 has 360 divisors, whose sum is σ = 13535654496. Its totient is φ = 778567680.

The previous prime is 3411394559. The next prime is 3411394603. The reversal of 3411394560 is 654931143.

3411394560 is a `hidden beast` number, since 3 + 4 + 1 + 1 + 3 + 94 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×34113945602 = 23275225687995187200, which contains 22 as substring.

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

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 5160630 + ... + 5161290.

Almost surely, 23411394560 is an apocalyptic number.

3411394560 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 3411394560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6767827248).

3411394560 is an abundant number, since it is smaller than the sum of its proper divisors (10124259936).

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

3411394560 is an equidigital number, since it uses as much as digits as its factorization.

3411394560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 707 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 3411394560 is about 58407.1447684271. The cubic root of 3411394560 is about 1505.3725210381.

The spelling of 3411394560 in words is "three billion, four hundred eleven million, three hundred ninety-four thousand, five hundred sixty".