Search a number
-
+
33707412 = 2232412557
BaseRepresentation
bin1000000010010…
…1010110010100
32100102111212200
42000211112110
532112114122
63202244500
7556336224
oct200452624
970374780
1033707412
1118032972
12b356730
136ca261b
144696084
152e5c5ac
hex2025594

33707412 has 54 divisors (see below), whose sum is σ = 87490494. Its totient is φ = 10942080.

The previous prime is 33707393. The next prime is 33707419. The reversal of 33707412 is 21470733.

It can be written as a sum of positive squares in 3 ways, for example, as 5447556 + 28259856 = 2334^2 + 5316^2 .

It is a super-2 number, since 2×337074122 = 2272379247475488, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33707419) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 60238 + ... + 60794.

Almost surely, 233707412 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 33707412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43745247).

33707412 is an abundant number, since it is smaller than the sum of its proper divisors (53783082).

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

33707412 is a wasteful number, since it uses less digits than its factorization.

33707412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 33707412 is about 5805.8084708333. The cubic root of 33707412 is about 323.0292158232.

The spelling of 33707412 in words is "thirty-three million, seven hundred seven thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 246 369 492 557 738 1114 1476 1671 1681 2228 3342 3362 5013 5043 6684 6724 10026 10086 15129 20052 20172 22837 30258 45674 60516 68511 91348 137022 205533 274044 411066 822132 936317 1872634 2808951 3745268 5617902 8426853 11235804 16853706 33707412