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3316254048 = 25354211013
BaseRepresentation
bin1100010110101010…
…0000010101100000
322120010010011100000
43011222200111200
523242430112143
61305022500000
7145115460102
oct30552402540
98503104300
103316254048
111451a36828
12786734600
1340b083703
1423660b572
15146213bd3
hexc5aa0560

3316254048 has 144 divisors (see below), whose sum is σ = 9812786256. Its totient is φ = 1101703680.

The previous prime is 3316254031. The next prime is 3316254049. The reversal of 3316254048 is 8404526133.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3316254049) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3273190 + ... + 3274202.

It is an arithmetic number, because the mean of its divisors is an integer number (68144349).

Almost surely, 23316254048 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 3316254048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4906393128).

3316254048 is an abundant number, since it is smaller than the sum of its proper divisors (6496532208).

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

3316254048 is a wasteful number, since it uses less digits than its factorization.

3316254048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1459 (or 1439 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 3316254048 is about 57586.9260162409. The cubic root of 3316254048 is about 1491.2459059452.

The spelling of 3316254048 in words is "three billion, three hundred sixteen million, two hundred fifty-four thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 421 432 486 648 842 864 972 1013 1263 1296 1684 1944 2026 2526 2592 3039 3368 3789 3888 4052 5052 6078 6736 7578 7776 8104 9117 10104 11367 12156 13472 15156 16208 18234 20208 22734 24312 27351 30312 32416 34101 36468 40416 45468 48624 54702 60624 68202 72936 82053 90936 97248 102303 109404 121248 136404 145872 164106 181872 204606 218808 246159 272808 291744 328212 363744 409212 426473 437616 492318 545616 656424 818424 852946 875232 984636 1091232 1279419 1312848 1636848 1705892 1969272 2558838 2625696 3273696 3411784 3838257 3938544 5117676 6823568 7676514 7877088 10235352 11514771 13647136 15353028 20470704 23029542 30706056 34544313 40941408 46059084 61412112 69088626 92118168 103632939 122824224 138177252 184236336 207265878 276354504 368472672 414531756 552709008 829063512 1105418016 1658127024 3316254048