Search a number
-
+
33490464 = 2537194361
BaseRepresentation
bin111111111000…
…0011000100000
32100000111021120
41333300120200
532033143324
63153452240
7554443560
oct177603040
970014246
1033490464
11179a4977
12b271080
136c27957
14463ada0
152e18179
hex1ff0620

33490464 has 192 divisors, whose sum is σ = 109992960. Its totient is φ = 8709120.

The previous prime is 33490463. The next prime is 33490477. The reversal of 33490464 is 46409433.

It is a super-2 number, since 2×334904642 = 2243222357870592, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33490463) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 548994 + ... + 549054.

It is an arithmetic number, because the mean of its divisors is an integer number (572880).

Almost surely, 233490464 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 33490464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54996480).

33490464 is an abundant number, since it is smaller than the sum of its proper divisors (76502496).

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

33490464 is a wasteful number, since it uses less digits than its factorization.

33490464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 135 counting only the distinct ones).

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

The square root of 33490464 is about 5787.0946078322. The cubic root of 33490464 is about 322.3346956459.

Adding to 33490464 its reverse (46409433), we get a palindrome (79899897).

The spelling of 33490464 in words is "thirty-three million, four hundred ninety thousand, four hundred sixty-four".