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33423040 = 265743347
BaseRepresentation
bin111111101111…
…1111011000000
32022220001210101
41333133323000
532024014130
63152212144
7554043160
oct177377300
968801711
1033423040
1117959252
12b23a054
136c03061
1446205a0
152e031ca
hex1fdfec0

33423040 has 112 divisors (see below), whose sum is σ = 93341952. Its totient is φ = 11160576.

The previous prime is 33423029. The next prime is 33423041. The reversal of 33423040 is 4032433.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×334230402 = 2234199205683200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33422999 and 33423017.

It is not an unprimeable number, because it can be changed into a prime (33423041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96147 + ... + 96493.

Almost surely, 233423040 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 33423040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46670976).

33423040 is an abundant number, since it is smaller than the sum of its proper divisors (59918912).

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

33423040 is a wasteful number, since it uses less digits than its factorization.

33423040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 19.

The square root of 33423040 is about 5781.2662972743. The cubic root of 33423040 is about 322.1182390507.

Adding to 33423040 its reverse (4032433), we get a palindrome (37455473).

The spelling of 33423040 in words is "thirty-three million, four hundred twenty-three thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 43 56 64 70 80 86 112 140 160 172 215 224 280 301 320 344 347 430 448 560 602 688 694 860 1120 1204 1376 1388 1505 1720 1735 2240 2408 2429 2752 2776 3010 3440 3470 4816 4858 5552 6020 6880 6940 9632 9716 11104 12040 12145 13760 13880 14921 19264 19432 22208 24080 24290 27760 29842 38864 48160 48580 55520 59684 74605 77728 96320 97160 104447 111040 119368 149210 155456 194320 208894 238736 298420 388640 417788 477472 522235 596840 777280 835576 954944 1044470 1193680 1671152 2088940 2387360 3342304 4177880 4774720 6684608 8355760 16711520 33423040