Search a number
-
+
34080336 = 2432298161
BaseRepresentation
bin1000001000000…
…0011001010000
32101010110102200
42002000121100
532211032321
63214243200
7562451403
oct202003120
971113380
1034080336
1118268074
12b4b6500
1370a32a4
144751d3a
152ed2d26
hex2080650

34080336 has 60 divisors (see below), whose sum is σ = 98678580. Its totient is φ = 10967040.

The previous prime is 34080301. The next prime is 34080337. The reversal of 34080336 is 63308043.

It can be written as a sum of positive squares in 2 ways, for example, as 15210000 + 18870336 = 3900^2 + 4344^2 .

It is a super-2 number, since 2×340803362 = 2322938603745792, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34080337) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 96 + ... + 8256.

It is an arithmetic number, because the mean of its divisors is an integer number (1644643).

Almost surely, 234080336 is an apocalyptic number.

34080336 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 34080336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49339290).

34080336 is an abundant number, since it is smaller than the sum of its proper divisors (64598244).

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

34080336 is a wasteful number, since it uses less digits than its factorization.

34080336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8204 (or 8195 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 34080336 is about 5837.8365855855. The cubic root of 34080336 is about 324.2161337959.

Adding to 34080336 its reverse (63308043), we get a palindrome (97388379).

The spelling of 34080336 in words is "thirty-four million, eighty thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 116 144 174 232 261 348 464 522 696 1044 1392 2088 4176 8161 16322 24483 32644 48966 65288 73449 97932 130576 146898 195864 236669 293796 391728 473338 587592 710007 946676 1175184 1420014 1893352 2130021 2840028 3786704 4260042 5680056 8520084 11360112 17040168 34080336