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3411213564 = 22311194347673
BaseRepresentation
bin1100101101010010…
…1111110011111100
322210201210121022010
43023110233303330
523441232313224
61322254051220
7150350560023
oct31324576374
98721717263
103411213564
1114a05a5270
127b24a9b10
13424950b85
142450898ba
1514e71ee29
hexcb52fcfc

3411213564 has 192 divisors, whose sum is σ = 9565839360. Its totient is φ = 934778880.

The previous prime is 3411213563. The next prime is 3411213581. The reversal of 3411213564 is 4653121143.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3411213563) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5068332 + ... + 5069004.

It is an arithmetic number, because the mean of its divisors is an integer number (49822080).

Almost surely, 23411213564 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3411213564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4782919680).

3411213564 is an abundant number, since it is smaller than the sum of its proper divisors (6154625796).

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

3411213564 is a wasteful number, since it uses less digits than its factorization.

3411213564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 800 (or 798 counting only the distinct ones).

The product of its digits is 8640, while the sum is 30.

The square root of 3411213564 is about 58405.5953141478. The cubic root of 3411213564 is about 1505.3458973980.

The spelling of 3411213564 in words is "three billion, four hundred eleven million, two hundred thirteen thousand, five hundred sixty-four".