Search a number
-
+
3264660396 = 22331032691091
BaseRepresentation
bin1100001010010110…
…1100001110101100
322102112000221011000
43002211230032230
523141223113041
61255541000300
7143621104224
oct30245541654
98375027130
103264660396
1114258a7748
127713b3090
1340048ab1a
1422d81b084
15141921bb6
hexc296c3ac

3264660396 has 96 divisors (see below), whose sum is σ = 8585740800. Its totient is φ = 1072664640.

The previous prime is 3264660391. The next prime is 3264660401. The reversal of 3264660396 is 6930664623.

It is a happy number.

3264660396 is a `hidden beast` number, since 32 + 6 + 4 + 6 + 603 + 9 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (3264660391) and next prime (3264660401).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (3264660391) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2991811 + ... + 2992901.

It is an arithmetic number, because the mean of its divisors is an integer number (89434800).

Almost surely, 23264660396 is an apocalyptic number.

3264660396 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3264660396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4292870400).

3264660396 is an abundant number, since it is smaller than the sum of its proper divisors (5321080404).

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

3264660396 is a wasteful number, since it uses less digits than its factorization.

3264660396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1476 (or 1468 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 45.

The square root of 3264660396 is about 57137.2067570686. The cubic root of 3264660396 is about 1483.4719431246.

The spelling of 3264660396 in words is "three billion, two hundred sixty-four million, six hundred sixty thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 103 108 206 269 309 412 538 618 807 927 1076 1091 1236 1614 1854 2182 2421 2781 3228 3273 3708 4364 4842 5562 6546 7263 9684 9819 11124 13092 14526 19638 27707 29052 29457 39276 55414 58914 83121 110828 112373 117828 166242 224746 249363 293479 332484 337119 449492 498726 586958 674238 748089 880437 997452 1011357 1173916 1348476 1496178 1760874 2022714 2641311 2992356 3034071 3521748 4045428 5282622 6068142 7923933 10565244 12136284 15847866 30228337 31695732 60456674 90685011 120913348 181370022 272055033 362740044 544110066 816165099 1088220132 1632330198 3264660396