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433042434 = 232114335051
BaseRepresentation
bin11001110011111…
…011010000000010
31010011211211112200
4121303323100002
51341324324214
6110545334030
713505541246
oct3163732002
91104754480
10433042434
11202494210
12101037316
136b940336
1441726426
152803dd09
hex19cfb402

433042434 has 48 divisors (see below), whose sum is σ = 1026121824. Its totient is φ = 130896000.

The previous prime is 433042409. The next prime is 433042447. The reversal of 433042434 is 434240334.

It is a junction number, because it is equal to n+sod(n) for n = 433042398 and 433042407.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83209 + ... + 88259.

It is an arithmetic number, because the mean of its divisors is an integer number (21377538).

Almost surely, 2433042434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 433042434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513060912).

433042434 is an abundant number, since it is smaller than the sum of its proper divisors (593079390).

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

433042434 is a wasteful number, since it uses less digits than its factorization.

433042434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5503 (or 5500 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

The square root of 433042434 is about 20809.6716456555. The cubic root of 433042434 is about 756.5601899075.

Adding to 433042434 its reverse (434240334), we get a palindrome (867282768).

It can be divided in two parts, 4330 and 42434, that added together give a palindrome (46764).

The spelling of 433042434 in words is "four hundred thirty-three million, forty-two thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 433 866 1299 2598 3897 4763 5051 7794 9526 10102 14289 15153 28578 30306 42867 45459 55561 85734 90918 111122 166683 333366 500049 1000098 2187083 4374166 6561249 13122498 19683747 24057913 39367494 48115826 72173739 144347478 216521217 433042434