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3252430032 = 243198342967
BaseRepresentation
bin1100000111011100…
…0010010011010000
322101200000120020120
43001313002103100
523130110230112
61254422510240
7143412125205
oct30167022320
98350016216
103252430032
111419a03905
12769295380
133caa98017
1422bd55cac
15140807e8c
hexc1dc24d0

3252430032 has 80 divisors (see below), whose sum is σ = 8951093760. Its totient is φ = 1014685056.

The previous prime is 3252430031. The next prime is 3252430037. The reversal of 3252430032 is 2300342523.

It is a super-2 number, since 2×32524300322 = 21156602226111042048, 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 = 3252429984 and 3252430011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3252430031) 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 15 ways as a sum of consecutive naturals, for example, 54213 + ... + 97179.

It is an arithmetic number, because the mean of its divisors is an integer number (111888672).

Almost surely, 23252430032 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 3252430032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4475546880).

3252430032 is an abundant number, since it is smaller than the sum of its proper divisors (5698663728).

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

3252430032 is a wasteful number, since it uses less digits than its factorization.

3252430032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43080 (or 43074 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 24.

The square root of 3252430032 is about 57030.0800630685. The cubic root of 3252430032 is about 1481.6171196788.

Adding to 3252430032 its reverse (2300342523), we get a palindrome (5552772555).

The spelling of 3252430032 in words is "three billion, two hundred fifty-two million, four hundred thirty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 83 114 152 166 228 249 304 332 456 498 664 912 996 1328 1577 1992 3154 3984 4731 6308 9462 12616 18924 25232 37848 42967 75696 85934 128901 171868 257802 343736 515604 687472 816373 1031208 1632746 2062416 2449119 3265492 3566261 4898238 6530984 7132522 9796476 10698783 13061968 14265044 19592952 21397566 28530088 39185904 42795132 57060176 67758959 85590264 135517918 171180528 203276877 271035836 406553754 542071672 813107508 1084143344 1626215016 3252430032