Search a number
-
+
33801140 = 2251690057
BaseRepresentation
bin1000000011110…
…0001110110100
32100121021110002
42000330032310
532123114030
63204250432
7560206412
oct200741664
970537402
1033801140
111809732a
12b3a0a18
137006199
1446bc2b2
152e7a245
hex203c3b4

33801140 has 12 divisors (see below), whose sum is σ = 70982436. Its totient is φ = 13520448.

The previous prime is 33801127. The next prime is 33801161. The reversal of 33801140 is 4110833.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 19254544 + 14546596 = 4388^2 + 3814^2 .

It is a super-2 number, since 2×338011402 = 2285034130599200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 1690057 = 33801140 / (3 + 3 + 8 + 0 + 1 + 1 + 4 + 0).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 845009 + ... + 845048.

It is an arithmetic number, because the mean of its divisors is an integer number (5915203).

Almost surely, 233801140 is an apocalyptic number.

It is an amenable number.

33801140 is an abundant number, since it is smaller than the sum of its proper divisors (37181296).

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

33801140 is a wasteful number, since it uses less digits than its factorization.

33801140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1690066 (or 1690064 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 33801140 is about 5813.8747836533. The cubic root of 33801140 is about 323.3283474863.

Adding to 33801140 its reverse (4110833), we get a palindrome (37911973).

The spelling of 33801140 in words is "thirty-three million, eight hundred one thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 1690057 3380114 6760228 8450285 16900570 33801140