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3345160896 = 263371131811
BaseRepresentation
bin1100011101100011…
…0001101011000000
322122010111210002000
43013120301223000
523322330122041
61311534224000
7145616253450
oct30730615300
98563453060
103345160896
11146728a990
12794355000
13414064c5c
1423a3b3d60
15148a23bb6
hexc7631ac0

3345160896 has 448 divisors, whose sum is σ = 12671877120. Its totient is φ = 839808000.

The previous prime is 3345160891. The next prime is 3345160901. The reversal of 3345160896 is 6980615433.

3345160896 is a `hidden beast` number, since 3 + 34 + 5 + 1 + 608 + 9 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (3345160891) and next prime (3345160901).

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×33451608962 = 22380202840255045632, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3345160891) 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, 4124331 + ... + 4125141.

It is an arithmetic number, because the mean of its divisors is an integer number (28285440).

Almost surely, 23345160896 is an apocalyptic number.

3345160896 is a gapful number since it is divisible by the number (36) 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 3345160896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6335938560).

3345160896 is an abundant number, since it is smaller than the sum of its proper divisors (9326716224).

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

3345160896 is a wasteful number, since it uses less digits than its factorization.

3345160896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 881 (or 865 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 3345160896 is about 57837.3659151245. The cubic root of 3345160896 is about 1495.5662997803.

The spelling of 3345160896 in words is "three billion, three hundred forty-five million, one hundred sixty thousand, eight hundred ninety-six".