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4342313232 = 243328135771
BaseRepresentation
bin1000000101101001…
…00111000100010000
3102012121211100221000
410002310213010100
532343113010412
61554514502000
7212415024225
oct40264470420
912177740830
104342313232
111929139224
12a12294900
13542815c1a
142d29bd94c
151a63414dc
hex102d27110

4342313232 has 80 divisors (see below), whose sum is σ = 12508752960. Its totient is φ = 1442246400.

The previous prime is 4342313167. The next prime is 4342313273. The reversal of 4342313232 is 2323132434.

4342313232 is a `hidden beast` number, since 4 + 3 + 423 + 1 + 3 + 232 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 4342313196 and 4342313205.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103507 + ... + 139277.

It is an arithmetic number, because the mean of its divisors is an integer number (156359412).

Almost surely, 24342313232 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 4342313232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6254376480).

4342313232 is an abundant number, since it is smaller than the sum of its proper divisors (8166439728).

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

4342313232 is a wasteful number, since it uses less digits than its factorization.

4342313232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36069 (or 36057 counting only the distinct ones).

The product of its digits is 10368, while the sum is 27.

The square root of 4342313232 is about 65896.2307875041. The cubic root of 4342313232 is about 1631.4498037200.

Adding to 4342313232 its reverse (2323132434), we get a palindrome (6665445666).

The spelling of 4342313232 in words is "four billion, three hundred forty-two million, three hundred thirteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 281 432 562 843 1124 1686 2248 2529 3372 4496 5058 6744 7587 10116 13488 15174 20232 30348 35771 40464 60696 71542 107313 121392 143084 214626 286168 321939 429252 572336 643878 858504 965817 1287756 1717008 1931634 2575512 3863268 5151024 7726536 10051651 15453072 20103302 30154953 40206604 60309906 80413208 90464859 120619812 160826416 180929718 241239624 271394577 361859436 482479248 542789154 723718872 1085578308 1447437744 2171156616 4342313232