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3442530528 = 253291113121
BaseRepresentation
bin1100110100110000…
…1101100011100000
322212220201200002200
43031030031203200
524022241434103
61325333213200
7151211012103
oct31514154340
98786650080
103442530528
111507245158
12800a91200
1342b297418
142492bc73a
151523590a3
hexcd30d8e0

3442530528 has 72 divisors (see below), whose sum is σ = 9801189216. Its totient is φ = 1146163200.

The previous prime is 3442530527. The next prime is 3442530629. The reversal of 3442530528 is 8250352443.

3442530528 is a `hidden beast` number, since 34 + 42 + 530 + 52 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3442530492 and 3442530501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3442530527) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 255808 + ... + 268928.

It is an arithmetic number, because the mean of its divisors is an integer number (136127628).

Almost surely, 23442530528 is an apocalyptic number.

It is an amenable number.

3442530528 is an abundant number, since it is smaller than the sum of its proper divisors (6358658688).

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

3442530528 is a wasteful number, since it uses less digits than its factorization.

3442530528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14048 (or 14037 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The square root of 3442530528 is about 58673.0818007713. The cubic root of 3442530528 is about 1509.9385276789.

The spelling of 3442530528 in words is "three billion, four hundred forty-two million, five hundred thirty thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 911 1822 2733 3644 5466 7288 8199 10932 13121 14576 16398 21864 26242 29152 32796 39363 43728 52484 65592 78726 87456 104968 118089 131184 157452 209936 236178 262368 314904 419872 472356 629808 944712 1259616 1889424 3778848 11953231 23906462 35859693 47812924 71719386 95625848 107579079 143438772 191251696 215158158 286877544 382503392 430316316 573755088 860632632 1147510176 1721265264 3442530528