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4314232032 = 253114085447
BaseRepresentation
bin1000000010010010…
…11111010011100000
3102010122222200202120
410001021133103200
532313420411112
61552032544240
7211624236645
oct40111372340
912118880676
104314232032
1119142a9420
12a049b2080
13539a63426
142ccd8ddcc
151a3b45e8c
hex10125f4e0

4314232032 has 48 divisors (see below), whose sum is σ = 12354394752. Its totient is φ = 1307342720.

The previous prime is 4314232031. The next prime is 4314232049. The reversal of 4314232032 is 2302324134.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×43142320322 = 37225196051869698048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 4314231993 and 4314232011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4314232031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2041668 + ... + 2043779.

It is an arithmetic number, because the mean of its divisors is an integer number (257383224).

Almost surely, 24314232032 is an apocalyptic number.

It is an amenable number.

4314232032 is an abundant number, since it is smaller than the sum of its proper divisors (8040162720).

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

4314232032 is a wasteful number, since it uses less digits than its factorization.

4314232032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4085471 (or 4085463 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 4314232032 is about 65682.8138252313. The cubic root of 4314232032 is about 1627.9254011017.

Adding to 4314232032 its reverse (2302324134), we get a palindrome (6616556166).

The spelling of 4314232032 in words is "four billion, three hundred fourteen million, two hundred thirty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 4085447 8170894 12256341 16341788 24512682 32683576 44939917 49025364 65367152 89879834 98050728 130734304 134819751 179759668 196101456 269639502 359519336 392202912 539279004 719038672 1078558008 1438077344 2157116016 4314232032