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3485322240 = 210351032203
BaseRepresentation
bin1100111110111101…
…1100110000000000
322222220020201021220
43033233130300000
524114220302430
61333502315040
7152240515221
oct31757346000
98886221256
103485322240
111529412204
12813288a80
134370ca86a
14250c5b248
15155ead110
hexcfbdcc00

3485322240 has 176 divisors, whose sum is σ = 11260923648. Its totient is φ = 919977984.

The previous prime is 3485322233. The next prime is 3485322259. The reversal of 3485322240 is 422235843.

3485322240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×34853222402 = 24294942233277235200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1580979 + ... + 1583181.

Almost surely, 23485322240 is an apocalyptic number.

3485322240 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 3485322240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5630461824).

3485322240 is an abundant number, since it is smaller than the sum of its proper divisors (7775601408).

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

3485322240 is a wasteful number, since it uses less digits than its factorization.

3485322240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2334 (or 2316 counting only the distinct ones).

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

The square root of 3485322240 is about 59036.6177893009. The cubic root of 3485322240 is about 1516.1691157588.

The spelling of 3485322240 in words is "three billion, four hundred eighty-five million, three hundred twenty-two thousand, two hundred forty".