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3468760848 = 24357127453
BaseRepresentation
bin1100111011000001…
…0001011100010000
322221202002022100000
43032300101130100
524101000321343
61332111330000
7151646660250
oct31660213420
98852068300
103468760848
111520030403
12809820900
1343384c617
1424c989960
151547daed3
hexcec11710

3468760848 has 120 divisors (see below), whose sum is σ = 11505527488. Its totient is φ = 991066752.

The previous prime is 3468760811. The next prime is 3468760853. The reversal of 3468760848 is 8480678643.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 3468760794 and 3468760803.

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 23 ways as a sum of consecutive naturals, for example, 36511 + ... + 90942.

Almost surely, 23468760848 is an apocalyptic number.

It is an amenable number.

3468760848 is an abundant number, since it is smaller than the sum of its proper divisors (8036766640).

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

3468760848 is a wasteful number, since it uses less digits than its factorization.

3468760848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127483 (or 127465 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The square root of 3468760848 is about 58896.1870412678. The cubic root of 3468760848 is about 1513.7638146483.

The spelling of 3468760848 in words is "three billion, four hundred sixty-eight million, seven hundred sixty thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 81 84 108 112 126 144 162 168 189 216 243 252 324 336 378 432 486 504 567 648 756 972 1008 1134 1296 1512 1701 1944 2268 3024 3402 3888 4536 6804 9072 13608 27216 127453 254906 382359 509812 764718 892171 1019624 1147077 1529436 1784342 2039248 2294154 2676513 3058872 3441231 3568684 4588308 5353026 6117744 6882462 7137368 8029539 9176616 10323693 10706052 13764924 14274736 16059078 18353232 20647386 21412104 24088617 27529848 30971079 32118156 41294772 42824208 48177234 55059696 61942158 64236312 72265851 82589544 96354468 123884316 128472624 144531702 165179088 192708936 216797553 247768632 289063404 385417872 433595106 495537264 578126808 867190212 1156253616 1734380424 3468760848