Search a number
-
+
33690900 = 22352112303
BaseRepresentation
bin1000000010000…
…1010100010100
32100101200020010
42000201110110
532111102100
63202040220
7556240125
oct200412424
970350203
1033690900
1118021521
12b349070
136c97c59
14469004c
152e57750
hex2021514

33690900 has 36 divisors (see below), whose sum is σ = 97479872. Its totient is φ = 8984160.

The previous prime is 33690871. The next prime is 33690911. The reversal of 33690900 is 909633.

It is a super-2 number, since 2×336909002 = 2270153485620000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55852 + ... + 56451.

Almost surely, 233690900 is an apocalyptic number.

33690900 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

33690900 is an abundant number, since it is smaller than the sum of its proper divisors (63788972).

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

33690900 is a wasteful number, since it uses less digits than its factorization.

33690900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112320 (or 112313 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 30.

The square root of 33690900 is about 5804.3862724667. The cubic root of 33690900 is about 322.9764605657.

The spelling of 33690900 in words is "thirty-three million, six hundred ninety thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 112303 224606 336909 449212 561515 673818 1123030 1347636 1684545 2246060 2807575 3369090 5615150 6738180 8422725 11230300 16845450 33690900