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3066432534 = 23211193672221
BaseRepresentation
bin1011011011000110…
…0000110000010110
321220201000220122100
42312301200300112
522240001320114
61224140142530
7135663150354
oct26661406026
97821026570
103066432534
111333a15170
12716b37a46
1339b3a4329
1421137a7d4
1512e317909
hexb6c60c16

3066432534 has 96 divisors (see below), whose sum is σ = 7653634560. Its totient is φ = 877521600.

The previous prime is 3066432497. The next prime is 3066432539. The reversal of 3066432534 is 4352346603.

3066432534 is a `hidden beast` number, since 3 + 0 + 6 + 643 + 2 + 5 + 3 + 4 = 666.

It is a super-2 number, since 2×30664325342 = 18806016971147322312, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3066432539) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1379544 + ... + 1381764.

It is an arithmetic number, because the mean of its divisors is an integer number (79725360).

Almost surely, 23066432534 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3066432534, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3826817280).

3066432534 is an abundant number, since it is smaller than the sum of its proper divisors (4587202026).

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

3066432534 is a wasteful number, since it uses less digits than its factorization.

3066432534 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2626 (or 2623 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 36.

The square root of 3066432534 is about 55375.3784095423. The cubic root of 3066432534 is about 1452.8177524861.

It can be divided in two parts, 3066 and 432534, that added together give a square (435600 = 6602).

The spelling of 3066432534 in words is "three billion, sixty-six million, four hundred thirty-two thousand, five hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 19 22 33 38 57 66 99 114 171 198 209 342 367 418 627 734 1101 1254 1881 2202 2221 3303 3762 4037 4442 6606 6663 6973 8074 12111 13326 13946 19989 20919 24222 24431 36333 39978 41838 42199 48862 62757 72666 73293 76703 84398 125514 126597 146586 153406 219879 230109 253194 379791 439758 460218 464189 690327 759582 815107 928378 1380654 1392567 1630214 2445321 2785134 4177701 4890642 7335963 8355402 8966177 14671926 15487033 17932354 26898531 30974066 46461099 53797062 80695593 92922198 139383297 161391186 170357363 278766594 340714726 511072089 1022144178 1533216267 3066432534