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3404306202 = 23112171012731
BaseRepresentation
bin1100101011101001…
…1001011100011010
322210020210200011220
43022322121130122
523433000244302
61321450032510
7150235060653
oct31272313432
98706720156
103404306202
111497707700
127b0118736
134233a2b8b
142441ac52a
1514dd084bc
hexcae9971a

3404306202 has 96 divisors (see below), whose sum is σ = 8005459392. Its totient is φ = 960960000.

The previous prime is 3404306197. The next prime is 3404306233. The reversal of 3404306202 is 2026034043.

It is a happy 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 47 ways as a sum of consecutive naturals, for example, 1245177 + ... + 1247907.

It is an arithmetic number, because the mean of its divisors is an integer number (83390202).

Almost surely, 23404306202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3404306202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4002729696).

3404306202 is an abundant number, since it is smaller than the sum of its proper divisors (4601153190).

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

3404306202 is a wasteful number, since it uses less digits than its factorization.

3404306202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2876 (or 2865 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 3404306202 is about 58346.4326415934. The cubic root of 3404306202 is about 1504.3291531575.

The spelling of 3404306202 in words is "three billion, four hundred four million, three hundred six thousand, two hundred two".

Divisors: 1 2 3 6 11 17 22 33 34 51 66 101 102 121 187 202 242 303 363 374 561 606 726 1111 1122 1717 2057 2222 2731 3333 3434 4114 5151 5462 6171 6666 8193 10302 12221 12342 16386 18887 24442 30041 36663 37774 46427 56661 60082 73326 90123 92854 113322 139281 180246 207757 275831 278562 330451 415514 510697 551662 623271 660902 827493 991353 1021394 1246542 1532091 1654986 1982706 3034141 3064182 4689127 5617667 6068282 9102423 9378254 11235334 14067381 16853001 18204846 28134762 33375551 33706002 51580397 66751102 100126653 103160794 154741191 200253306 309482382 567384367 1134768734 1702153101 3404306202