Search a number
-
+
3404325996 = 223543471733
BaseRepresentation
bin1100101011101001…
…1110010001101100
322210020211200100000
43022322132101230
523433001412441
61321450304300
7150235202451
oct31272362154
98706750300
103404325996
111497720565
127b0128090
134233abba6
142441b5828
1514dd0e2b6
hexcae9e46c

3404325996 has 144 divisors (see below), whose sum is σ = 9331305984. Its totient is φ = 1084176576.

The previous prime is 3404325989. The next prime is 3404325997. The reversal of 3404325996 is 6995234043.

It is not an unprimeable number, because it can be changed into a prime (3404325997) by changing a digit.

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, 1963546 + ... + 1965278.

It is an arithmetic number, because the mean of its divisors is an integer number (64800736).

Almost surely, 23404325996 is an apocalyptic number.

3404325996 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3404325996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4665652992).

3404325996 is an abundant number, since it is smaller than the sum of its proper divisors (5926979988).

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

3404325996 is a wasteful number, since it uses less digits than its factorization.

3404325996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1842 (or 1828 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The square root of 3404325996 is about 58346.6022661131. The cubic root of 3404325996 is about 1504.3320687426.

The spelling of 3404325996 in words is "three billion, four hundred four million, three hundred twenty-five thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 43 47 54 81 86 94 108 129 141 162 172 188 243 258 282 324 387 423 486 516 564 774 846 972 1161 1269 1548 1692 1733 2021 2322 2538 3466 3483 3807 4042 4644 5076 5199 6063 6932 6966 7614 8084 10398 10449 11421 12126 13932 15228 15597 18189 20796 20898 22842 24252 31194 36378 41796 45684 46791 54567 62388 72756 74519 81451 93582 109134 140373 149038 162902 163701 187164 218268 223557 244353 280746 298076 325804 327402 421119 447114 488706 491103 561492 654804 670671 733059 842238 894228 977412 982206 1341342 1466118 1684476 1964412 2012013 2199177 2682684 2932236 3502393 4024026 4398354 6036039 6597531 7004786 8048052 8796708 10507179 12072078 13195062 14009572 18108117 19792593 21014358 24144156 26390124 31521537 36216234 39585186 42028716 63043074 72432468 79170372 94564611 126086148 189129222 283693833 378258444 567387666 851081499 1134775332 1702162998 3404325996