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432434052 = 2236413617
BaseRepresentation
bin11001110001100…
…110101110000100
31010010200221000000
4121301212232010
51341200342202
6110524321300
713500425451
oct3161465604
91103627000
10432434052
11202109116
121009a3230
136b78944b
1441608828
1527e6d91c
hex19c66b84

432434052 has 84 divisors (see below), whose sum is σ = 1162615356. Its totient is φ = 140590080.

The previous prime is 432434029. The next prime is 432434081. The reversal of 432434052 is 250434234.

It can be written as a sum of positive squares in 2 ways, for example, as 9144576 + 423289476 = 3024^2 + 20574^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 117748 + ... + 121364.

It is an arithmetic number, because the mean of its divisors is an integer number (13840659).

Almost surely, 2432434052 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 432434052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581307678).

432434052 is an abundant number, since it is smaller than the sum of its proper divisors (730181304).

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

432434052 is a wasteful number, since it uses less digits than its factorization.

432434052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3680 (or 3663 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

The square root of 432434052 is about 20795.0487376202. The cubic root of 432434052 is about 756.2057263246.

Adding to 432434052 its reverse (250434234), we get a palindrome (682868286).

The spelling of 432434052 in words is "four hundred thirty-two million, four hundred thirty-four thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 81 82 108 123 162 164 243 246 324 369 486 492 729 738 972 1107 1458 1476 2214 2916 3321 3617 4428 6642 7234 9963 10851 13284 14468 19926 21702 29889 32553 39852 43404 59778 65106 97659 119556 130212 148297 195318 292977 296594 390636 444891 585954 593188 878931 889782 1171908 1334673 1757862 1779564 2636793 2669346 3515724 4004019 5273586 5338692 8008038 10547172 12012057 16016076 24024114 36036171 48048228 72072342 108108513 144144684 216217026 432434052