Search a number
-
+
33107436 = 22322333947
BaseRepresentation
bin111111001001…
…0110111101100
32022022000212100
41332102313230
531433414221
63141335100
7551260065
oct176226754
968260770
1033107436
111776311a
12b107490
136b224cb
14457b56c
152d8e926
hex1f92dec

33107436 has 36 divisors (see below), whose sum is σ = 84068712. Its totient is φ = 10985664.

The previous prime is 33107429. The next prime is 33107441. The reversal of 33107436 is 63470133.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×331074362 = 2192204636988192, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6415 + ... + 10361.

It is an arithmetic number, because the mean of its divisors is an integer number (2335242).

Almost surely, 233107436 is an apocalyptic number.

33107436 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

33107436 is an abundant number, since it is smaller than the sum of its proper divisors (50961276).

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

33107436 is a wasteful number, since it uses less digits than its factorization.

33107436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4190 (or 4185 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 27.

The square root of 33107436 is about 5753.9061514766. The cubic root of 33107436 is about 321.1011414481.

Adding to 33107436 its reverse (63470133), we get a palindrome (96577569).

The spelling of 33107436 in words is "thirty-three million, one hundred seven thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 233 466 699 932 1398 2097 2796 3947 4194 7894 8388 11841 15788 23682 35523 47364 71046 142092 919651 1839302 2758953 3678604 5517906 8276859 11035812 16553718 33107436