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3249109440 = 263251959377
BaseRepresentation
bin1100000110101001…
…0111100111000000
322101102202212020200
43001222113213000
523123233000230
61254223405200
7143341655163
oct30152274700
98342685220
103249109440
111418046015
12768153800
133ca1a4785
1422b72dada
1514039e160
hexc1a979c0

3249109440 has 168 divisors, whose sum is σ = 11763969360. Its totient is φ = 820813824.

The previous prime is 3249109433. The next prime is 3249109441. The reversal of 3249109440 is 449019423.

It is a super-2 number, since 2×32491094402 = 21113424306194227200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 3249109395 and 3249109404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3249109441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25032 + ... + 84408.

Almost surely, 23249109440 is an apocalyptic number.

3249109440 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 3249109440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5881984680).

3249109440 is an abundant number, since it is smaller than the sum of its proper divisors (8514859920).

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

3249109440 is a wasteful number, since it uses less digits than its factorization.

3249109440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59419 (or 59406 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 3249109440 is about 57000.9599919159. The cubic root of 3249109440 is about 1481.1127254081.

The spelling of 3249109440 in words is "three billion, two hundred forty-nine million, one hundred nine thousand, four hundred forty".