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3355305345 = 3257101263401
BaseRepresentation
bin1100011111111101…
…1110010110000001
322122211121011122100
43013333132112001
523332424232340
61312535501013
7146101424220
oct30777362601
98584534570
103355305345
111471a89627
12797827769
134161a74a2
1423b894cb7
15149879830
hexc7fde581

3355305345 has 96 divisors (see below), whose sum is σ = 6754834944. Its totient is φ = 1509120000.

The previous prime is 3355305341. The next prime is 3355305347. The reversal of 3355305345 is 5435035533.

3355305345 is a `hidden beast` number, since 3 + 3 + 5 + 5 + 305 + 345 = 666.

It is not a de Polignac number, because 3355305345 - 22 = 3355305341 is a prime.

It is a super-2 number, since 2×33553053452 = 22516147916371138050, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (3355305341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8367145 + ... + 8367545.

It is an arithmetic number, because the mean of its divisors is an integer number (70362864).

Almost surely, 23355305345 is an apocalyptic number.

3355305345 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3355305345 is an abundant number, since it is smaller than the sum of its proper divisors (3399529599).

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

3355305345 is a wasteful number, since it uses less digits than its factorization.

3355305345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 783 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 202500, while the sum is 36.

The square root of 3355305345 is about 57924.9975830815. The cubic root of 3355305345 is about 1497.0765794429.

The spelling of 3355305345 in words is "three billion, three hundred fifty-five million, three hundred five thousand, three hundred forty-five".

Divisors: 1 3 5 7 9 15 21 35 45 63 101 105 263 303 315 401 505 707 789 909 1203 1315 1515 1841 2005 2121 2367 2807 3535 3609 3945 4545 5523 6015 6363 8421 9205 10605 11835 14035 16569 18045 25263 26563 27615 31815 40501 42105 79689 82845 105463 121503 126315 132815 185941 202505 239067 283507 316389 364509 398445 527315 557823 607515 738241 850521 929705 949167 1195335 1417535 1581945 1673469 1822545 2214723 2551563 2789115 3691205 4252605 4745835 6644169 8367345 10651763 11073615 12757815 31955289 33220845 53258815 74562341 95865867 159776445 223687023 372811705 479329335 671061069 1118435115 3355305345