Search a number
-
+
33420024 = 23321142197
BaseRepresentation
bin111111101111…
…1001011111000
32022212220122200
41333133023320
532023420044
63152150200
7554031321
oct177371370
968786580
1033420024
1117956a60
12b238360
136c01881
14461d448
152e02369
hex1fdf2f8

33420024 has 48 divisors (see below), whose sum is σ = 98743320. Its totient is φ = 10127040.

The previous prime is 33420017. The next prime is 33420041. The reversal of 33420024 is 42002433.

It is a super-2 number, since 2×334200242 = 2233796008321152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 33419979 and 33420006.

It is a congruent number.

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, 20307 + ... + 21890.

Almost surely, 233420024 is an apocalyptic number.

It is an amenable number.

33420024 is an abundant number, since it is smaller than the sum of its proper divisors (65323296).

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

33420024 is a wasteful number, since it uses less digits than its factorization.

33420024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42220 (or 42213 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 33420024 is about 5781.0054488817. The cubic root of 33420024 is about 322.1085497483.

Adding to 33420024 its reverse (42002433), we get a palindrome (75422457).

The spelling of 33420024 in words is "thirty-three million, four hundred twenty thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 42197 84394 126591 168788 253182 337576 379773 464167 506364 759546 928334 1012728 1392501 1519092 1856668 2785002 3038184 3713336 4177503 5570004 8355006 11140008 16710012 33420024