Search a number
-
+
343045032 = 23311412773
BaseRepresentation
bin10100011100100…
…111001110101000
3212220111111022120
4110130213032220
51200304420112
654012351240
711333556201
oct2434471650
9786444276
10343045032
111667048a0
1296a75520
13560bc635
14337ba5a8
15201b2e8c
hex147273a8

343045032 has 96 divisors (see below), whose sum is σ = 960193440. Its totient is φ = 101286400.

The previous prime is 343045007. The next prime is 343045049. The reversal of 343045032 is 230540343.

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

It is a junction number, because it is equal to n+sod(n) for n = 343044993 and 343045011.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 443398 + ... + 444170.

It is an arithmetic number, because the mean of its divisors is an integer number (10002015).

Almost surely, 2343045032 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 343045032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480096720).

343045032 is an abundant number, since it is smaller than the sum of its proper divisors (617148408).

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

343045032 is a wasteful number, since it uses less digits than its factorization.

343045032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 875 (or 830 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 24.

The square root of 343045032 is about 18521.4748872761. The cubic root of 343045032 is about 700.0306326731.

Adding to 343045032 its reverse (230540343), we get a palindrome (573585375).

The spelling of 343045032 in words is "three hundred forty-three million, forty-five thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 41 44 66 82 88 123 132 164 246 264 328 451 492 773 902 984 1353 1546 1681 1804 2319 2706 3092 3362 3608 4638 5043 5412 6184 6724 8503 9276 10086 10824 13448 17006 18491 18552 20172 25509 31693 34012 36982 40344 51018 55473 63386 68024 73964 95079 102036 110946 126772 147928 190158 204072 221892 253544 348623 380316 443784 697246 760632 1045869 1299413 1394492 2091738 2598826 2788984 3898239 4183476 5197652 7796478 8366952 10395304 14293543 15592956 28587086 31185912 42880629 57174172 85761258 114348344 171522516 343045032