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3343680816 = 243727120023
BaseRepresentation
bin1100011101001100…
…1000010100110000
322122000201120210020
43013103020110300
523321440241231
61311442403440
7145600550400
oct30723102460
98560646706
103343680816
111466469983
12793960580
13413967378
1423a10a800
15148830396
hexc74c8530

3343680816 has 120 divisors (see below), whose sum is σ = 10190133504. Its totient is φ = 941834880.

The previous prime is 3343680797. The next prime is 3343680827. The reversal of 3343680816 is 6180863433.

It is a super-2 number, since 2×33436808162 = 22360402798572851712, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 156981 + ... + 177003.

Almost surely, 23343680816 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 3343680816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5095066752).

3343680816 is an abundant number, since it is smaller than the sum of its proper divisors (6846452688).

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

3343680816 is a wasteful number, since it uses less digits than its factorization.

3343680816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20119 (or 20106 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The square root of 3343680816 is about 57824.5693109771. The cubic root of 3343680816 is about 1495.3456941170.

The spelling of 3343680816 in words is "three billion, three hundred forty-three million, six hundred eighty thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 71 84 98 112 142 147 168 196 213 284 294 336 392 426 497 568 588 784 852 994 1136 1176 1491 1704 1988 2352 2982 3408 3479 3976 5964 6958 7952 10437 11928 13916 20023 20874 23856 27832 40046 41748 55664 60069 80092 83496 120138 140161 160184 166992 240276 280322 320368 420483 480552 560644 840966 961104 981127 1121288 1421633 1681932 1962254 2242576 2843266 2943381 3363864 3924508 4264899 5686532 5886762 6727728 7849016 8529798 9951431 11373064 11773524 15698032 17059596 19902862 22746128 23547048 29854293 34119192 39805724 47094096 59708586 68238384 69660017 79611448 119417172 139320034 159222896 208980051 238834344 278640068 417960102 477668688 557280136 835920204 1114560272 1671840408 3343680816