Search a number
-
+
3350541120 = 26357149157
BaseRepresentation
bin1100011110110101…
…0011001101000000
322122111122010100120
43013231103031000
523330214303440
61312245420240
7146013062313
oct30755231500
98574563316
103350541120
11146a325153
1279610a680
134151c9b14
1423adb497a
15149237dd0
hexc7b53340

3350541120 has 112 divisors (see below), whose sum is σ = 10788018048. Its totient is φ = 880875520.

The previous prime is 3350541119. The next prime is 3350541133. The reversal of 3350541120 is 211450533.

It is a super-2 number, since 2×33505411202 = 22452251593621708800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43582 + ... + 92738.

Almost surely, 23350541120 is an apocalyptic number.

3350541120 is a gapful number since it is divisible by the number (30) 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 3350541120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5394009024).

3350541120 is an abundant number, since it is smaller than the sum of its proper divisors (7437476928).

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

3350541120 is a wasteful number, since it uses less digits than its factorization.

3350541120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49248 (or 49238 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 3350541120 is about 57883.8588900222. The cubic root of 3350541120 is about 1496.3676734580.

Adding to 3350541120 its reverse (211450533), we get a palindrome (3561991653).

The spelling of 3350541120 in words is "three billion, three hundred fifty million, five hundred forty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 71 80 96 120 142 160 192 213 240 284 320 355 426 480 568 710 852 960 1065 1136 1420 1704 2130 2272 2840 3408 4260 4544 5680 6816 8520 11360 13632 17040 22720 34080 49157 68160 98314 147471 196628 245785 294942 393256 491570 589884 737355 786512 983140 1179768 1474710 1573024 1966280 2359536 2949420 3146048 3490147 3932560 4719072 5898840 6980294 7865120 9438144 10470441 11797680 13960588 15730240 17450735 20940882 23595360 27921176 34901470 41881764 47190720 52352205 55842352 69802940 83763528 104704410 111684704 139605880 167527056 209408820 223369408 279211760 335054112 418817640 558423520 670108224 837635280 1116847040 1675270560 3350541120