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3483522240 = 263511229989
BaseRepresentation
bin1100111110100010…
…0101010011000000
322222202212021011020
43033220211103000
524113240202430
61333355545440
7152216310342
oct31750452300
98882767136
103483522240
1115283a2900
1281275b280
1343691a483
1425090d292
15155c54b10
hexcfa254c0

3483522240 has 168 divisors, whose sum is σ = 12157466160. Its totient is φ = 844462080.

The previous prime is 3483522239. The next prime is 3483522257. The reversal of 3483522240 is 422253843.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 101166 + ... + 131154.

It is an arithmetic number, because the mean of its divisors is an integer number (72365870).

Almost surely, 23483522240 is an apocalyptic number.

3483522240 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 3483522240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6078733080).

3483522240 is an abundant number, since it is smaller than the sum of its proper divisors (8673943920).

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

3483522240 is a wasteful number, since it uses less digits than its factorization.

3483522240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30031 (or 30010 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 33.

The square root of 3483522240 is about 59021.3710447326. The cubic root of 3483522240 is about 1515.9080615269.

It can be divided in two parts, 34835 and 22240, that added together give a palindrome (57075).

The spelling of 3483522240 in words is "three billion, four hundred eighty-three million, five hundred twenty-two thousand, two hundred forty".