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3475458240 = 2635172347197
BaseRepresentation
bin1100111100100111…
…0100100011000000
322222012200120102120
43033021310203000
524104204130430
61332511044240
7152060623212
oct31711644300
98865616376
103475458240
111523895241
1280bb10680
13435055b87
1424d8105b2
151551b0610
hexcf2748c0

3475458240 has 448 divisors, whose sum is σ = 12514258944. Its totient is φ = 812449792.

The previous prime is 3475458229. The next prime is 3475458247. The reversal of 3475458240 is 428545743.

It is a junction number, because it is equal to n+sod(n) for n = 3475458192 and 3475458201.

It is not an unprimeable number, because it can be changed into a prime (3475458247) 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, 17641822 + ... + 17642018.

Almost surely, 23475458240 is an apocalyptic number.

3475458240 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 3475458240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6257129472).

3475458240 is an abundant number, since it is smaller than the sum of its proper divisors (9038800704).

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

3475458240 is a wasteful number, since it uses less digits than its factorization.

3475458240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 42.

The square root of 3475458240 is about 58953.0172255840. The cubic root of 3475458240 is about 1514.7374333933.

The spelling of 3475458240 in words is "three billion, four hundred seventy-five million, four hundred fifty-eight thousand, two hundred forty".