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3345398496 = 25361113037
BaseRepresentation
bin1100011101100110…
…1011101011100000
322122010221212000000
43013121223223200
523322410222441
61311543300000
7145621263246
oct30731535340
98563855000
103345398496
111467432450
1279444a600
1341411914b
1423a436796
15148a6e2b6
hexc766bae0

3345398496 has 168 divisors, whose sum is σ = 10773403704. Its totient is φ = 1013679360.

The previous prime is 3345398489. The next prime is 3345398509. The reversal of 3345398496 is 6948935433.

It is a super-2 number, since 2×33453984962 = 22383382194078124032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 250090 + ... + 263126.

It is an arithmetic number, because the mean of its divisors is an integer number (64127403).

Almost surely, 23345398496 is an apocalyptic number.

3345398496 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 3345398496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5386701852).

3345398496 is an abundant number, since it is smaller than the sum of its proper divisors (7428005208).

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

3345398496 is a wasteful number, since it uses less digits than its factorization.

3345398496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13076 (or 13053 counting only the distinct ones).

The product of its digits is 8398080, while the sum is 54.

The square root of 3345398496 is about 57839.4199141036. The cubic root of 3345398496 is about 1495.6017079566.

The spelling of 3345398496 in words is "three billion, three hundred forty-five million, three hundred ninety-eight thousand, four hundred ninety-six".