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3322293328 = 242315757503
BaseRepresentation
bin1100011000000110…
…0010110001010000
322120112110222200001
43012001202301100
523301001341303
61305400135344
7145221012244
oct30601426120
98515428601
103322293328
111455391172
12788767554
1340c3b9553
14237340424
15146a0831d
hexc6062c50

3322293328 has 40 divisors (see below), whose sum is σ = 6759710208. Its totient is φ = 1578774912.

The previous prime is 3322293283. The next prime is 3322293329. The reversal of 3322293328 is 8233922233.

It is a super-2 number, since 2×33222933282 = 22075265914546631168, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3322293329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29025 + ... + 86527.

Almost surely, 23322293328 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 3322293328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3379855104).

3322293328 is an abundant number, since it is smaller than the sum of its proper divisors (3437416880).

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

3322293328 is a wasteful number, since it uses less digits than its factorization.

3322293328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57691 (or 57685 counting only the distinct ones).

The product of its digits is 93312, while the sum is 37.

The square root of 3322293328 is about 57639.3383723304. The cubic root of 3322293328 is about 1492.1506004138.

The spelling of 3322293328 in words is "three billion, three hundred twenty-two million, two hundred ninety-three thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 16 23 46 92 157 184 314 368 628 1256 2512 3611 7222 14444 28888 57503 57776 115006 230012 460024 920048 1322569 2645138 5290276 9027971 10580552 18055942 21161104 36111884 72223768 144447536 207643333 415286666 830573332 1661146664 3322293328