Search a number
-
+
333421368 = 23373173877
BaseRepresentation
bin10011110111111…
…001101100111000
3212020101120010120
4103313321230320
51140323440433
653030213240
711156014650
oct2367715470
9766346116
10333421368
11161231455
12937b4220
1354100167
14323d3360
151e4117b3
hex13df9b38

333421368 has 128 divisors (see below), whose sum is σ = 997969920. Its totient is φ = 90823680.

The previous prime is 333421241. The next prime is 333421373. The reversal of 333421368 is 863124333.

It is a super-2 number, since 2×3334213682 = 222339617277982848, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 379746 + ... + 380622.

It is an arithmetic number, because the mean of its divisors is an integer number (7796640).

Almost surely, 2333421368 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 333421368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498984960).

333421368 is an abundant number, since it is smaller than the sum of its proper divisors (664548552).

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

333421368 is a wasteful number, since it uses less digits than its factorization.

333421368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 997 (or 993 counting only the distinct ones).

The product of its digits is 31104, while the sum is 33.

The square root of 333421368 is about 18259.8293529814. The cubic root of 333421368 is about 693.4223088065.

The spelling of 333421368 in words is "three hundred thirty-three million, four hundred twenty-one thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 56 62 73 84 93 124 146 168 186 217 219 248 292 372 434 438 511 584 651 744 868 876 877 1022 1302 1533 1736 1752 1754 2044 2263 2604 2631 3066 3508 4088 4526 5208 5262 6132 6139 6789 7016 9052 10524 12264 12278 13578 15841 18104 18417 21048 24556 27156 27187 31682 36834 47523 49112 54312 54374 63364 64021 73668 81561 95046 108748 126728 128042 147336 163122 190092 190309 192063 217496 256084 326244 380184 380618 384126 448147 512168 570927 652488 761236 768252 896294 1141854 1344441 1522472 1536504 1792588 1984651 2283708 2688882 3585176 3969302 4567416 5377764 5953953 7938604 10755528 11907906 13892557 15877208 23815812 27785114 41677671 47631624 55570228 83355342 111140456 166710684 333421368