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3355329472 = 2611191371831
BaseRepresentation
bin1100011111111110…
…0100001111000000
322122211122101201221
43013333210033000
523332431020342
61312540204424
7146101554445
oct30777441700
98584571657
103355329472
111471aa5770
12797839714
134161b5471
1423b89d9cc
15149881a67
hexc7fe43c0

3355329472 has 112 divisors (see below), whose sum is σ = 7705831680. Its totient is φ = 1433548800.

The previous prime is 3355329443. The next prime is 3355329487. The reversal of 3355329472 is 2749235533.

It is a super-2 number, since 2×33553294722 = 22516471731343597568, 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 15 ways as a sum of consecutive naturals, for example, 1831597 + ... + 1833427.

Almost surely, 23355329472 is an apocalyptic number.

3355329472 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 3355329472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3852915840).

3355329472 is an abundant number, since it is smaller than the sum of its proper divisors (4350502208).

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

3355329472 is a wasteful number, since it uses less digits than its factorization.

3355329472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2010 (or 2000 counting only the distinct ones).

The product of its digits is 680400, while the sum is 43.

The square root of 3355329472 is about 57925.2058433977. The cubic root of 3355329472 is about 1497.0801677781.

The spelling of 3355329472 in words is "three billion, three hundred fifty-five million, three hundred twenty-nine thousand, four hundred seventy-two".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 64 76 88 137 152 176 209 274 304 352 418 548 608 704 836 1096 1216 1507 1672 1831 2192 2603 3014 3344 3662 4384 5206 6028 6688 7324 8768 10412 12056 13376 14648 20141 20824 24112 28633 29296 34789 40282 41648 48224 57266 58592 69578 80564 83296 96448 114532 117184 139156 161128 166592 229064 250847 278312 322256 382679 458128 501694 556624 644512 765358 916256 1003388 1113248 1289024 1530716 1832512 2006776 2226496 2759317 3061432 4013552 4766093 5518634 6122864 8027104 9532186 11037268 12245728 16054208 19064372 22074536 24491456 38128744 44149072 52427023 76257488 88298144 104854046 152514976 176596288 209708092 305029952 419416184 838832368 1677664736 3355329472