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3354474432 = 26327763073
BaseRepresentation
bin1100011111110001…
…0011011111000000
322122210000221211210
43013330103133000
523332221140212
61312510010120
7146061363561
oct30774233700
98583027753
103354474432
111471571321
127974a6940
13415c7621a
1423b71a168
1514976353c
hexc7f137c0

3354474432 has 56 divisors (see below), whose sum is σ = 8907562576. Its totient is φ = 1114103808.

The previous prime is 3354474401. The next prime is 3354474451. The reversal of 3354474432 is 2344744533.

It is a super-2 number, since 2×33544744322 = 22504997429883445248, which contains 22 as substring.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 21648 + ... + 84720.

Almost surely, 23354474432 is an apocalyptic number.

3354474432 is a gapful number since it is divisible by the number (32) 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 3354474432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4453781288).

3354474432 is an abundant number, since it is smaller than the sum of its proper divisors (5553088144).

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

3354474432 is a wasteful number, since it uses less digits than its factorization.

3354474432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63365 (or 63355 counting only the distinct ones).

The product of its digits is 483840, while the sum is 39.

The square root of 3354474432 is about 57917.8248210342. The cubic root of 3354474432 is about 1496.9529897880.

The spelling of 3354474432 in words is "three billion, three hundred fifty-four million, four hundred seventy-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 277 554 831 1108 1662 2216 3324 4432 6648 8864 13296 17728 26592 53184 63073 126146 189219 252292 378438 504584 756876 1009168 1513752 2018336 3027504 4036672 6055008 12110016 17471221 34942442 52413663 69884884 104827326 139769768 209654652 279539536 419309304 559079072 838618608 1118158144 1677237216 3354474432