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3453675056 = 241347401881
BaseRepresentation
bin1100110111011010…
…1110011000110000
322220200200212111222
43031312232120300
524033120100211
61330412124212
7151404516326
oct31566563060
98820625458
103453675056
111512567207
12804766668
13430699c10
1424a97dd16
1515330b1db
hexcddae630

3453675056 has 80 divisors (see below), whose sum is σ = 7386277248. Its totient is φ = 1554432000.

The previous prime is 3453675007. The next prime is 3453675061. The reversal of 3453675056 is 6505763543.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 3453674998 and 3453675016.

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 15 ways as a sum of consecutive naturals, for example, 3919736 + ... + 3920616.

Almost surely, 23453675056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3453675056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3693138624).

3453675056 is an abundant number, since it is smaller than the sum of its proper divisors (3932602192).

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

3453675056 is a wasteful number, since it uses less digits than its factorization.

3453675056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1350 (or 1344 counting only the distinct ones).

The product of its (nonzero) digits is 1134000, while the sum is 44.

The square root of 3453675056 is about 58767.9764497639. The cubic root of 3453675056 is about 1511.5661507313.

The spelling of 3453675056 in words is "three billion, four hundred fifty-three million, six hundred seventy-five thousand, fifty-six".

Divisors: 1 2 4 8 13 16 26 47 52 94 104 188 208 376 401 611 752 802 881 1222 1604 1762 2444 3208 3524 4888 5213 6416 7048 9776 10426 11453 14096 18847 20852 22906 37694 41407 41704 45812 75388 82814 83408 91624 150776 165628 183248 245011 301552 331256 353281 490022 538291 662512 706562 980044 1076582 1413124 1960088 2153164 2826248 3920176 4306328 4592653 5652496 8612656 9185306 16604207 18370612 33208414 36741224 66416828 73482448 132833656 215854691 265667312 431709382 863418764 1726837528 3453675056