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3453833216 = 212978693
BaseRepresentation
bin1100110111011101…
…0101000000000000
322220200222220110202
43031313111000000
524033140130331
61330415344332
7151406045411
oct31567250000
98820886422
103453833216
111512665019
128048220a8
13430723bc2
1424a9c1808
1515333cecb
hexcddd5000

3453833216 has 52 divisors (see below), whose sum is σ = 6978830292. Its totient is φ = 1708916736.

The previous prime is 3453833179. The next prime is 3453833221. The reversal of 3453833216 is 6123383543.

It can be written as a sum of positive squares in 2 ways, for example, as 739840000 + 2713993216 = 27200^2 + 52096^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 3453833216.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 392966 + ... + 401658.

Almost surely, 23453833216 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 3453833216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3489415146).

3453833216 is an abundant number, since it is smaller than the sum of its proper divisors (3524997076).

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

3453833216 is an frugal number, since it uses more digits than its factorization.

3453833216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8814 (or 8792 counting only the distinct ones).

The product of its digits is 155520, while the sum is 38.

The square root of 3453833216 is about 58769.3220651727. The cubic root of 3453833216 is about 1511.5892242833.

The spelling of 3453833216 in words is "three billion, four hundred fifty-three million, eight hundred thirty-three thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 32 64 97 128 194 256 388 512 776 1024 1552 2048 3104 4096 6208 8693 12416 17386 24832 34772 49664 69544 99328 139088 198656 278176 397312 556352 843221 1112704 1686442 2225408 3372884 4450816 6745768 8901632 13491536 17803264 26983072 35606528 53966144 107932288 215864576 431729152 863458304 1726916608 3453833216