Search a number
-
+
1336329324 = 22321131672
BaseRepresentation
bin100111110100110…
…1100010001101100
310110010112120012200
41033221230101230
510214100014244
6340334101500
745054416601
oct11751542154
93403476180
101336329324
11626361000
1231364a890
13183b17b15
14c969a6a8
157c4b9669
hex4fa6c46c

1336329324 has 108 divisors (see below), whose sum is σ = 3737865768. Its totient is φ = 402523440.

The previous prime is 1336329311. The next prime is 1336329389. The reversal of 1336329324 is 4239236331.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

1336329324 is a `hidden beast` number, since 1 + 3 + 3 + 6 + 329 + 324 = 666.

1336329324 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8001889 + ... + 8002055.

Almost surely, 21336329324 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 1336329324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1868932884).

1336329324 is an abundant number, since it is smaller than the sum of its proper divisors (2401536444).

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

1336329324 is a wasteful number, since it uses less digits than its factorization.

1336329324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 183 counting only the distinct ones).

The product of its digits is 69984, while the sum is 36.

The square root of 1336329324 is about 36555.8384392972. The cubic root of 1336329324 is about 1101.4661782118.

The spelling of 1336329324 in words is "one billion, three hundred thirty-six million, three hundred twenty-nine thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 167 198 242 334 363 396 484 501 668 726 1002 1089 1331 1452 1503 1837 2004 2178 2662 3006 3674 3993 4356 5324 5511 6012 7348 7986 11022 11979 15972 16533 20207 22044 23958 27889 33066 40414 47916 55778 60621 66132 80828 83667 111556 121242 167334 181863 222277 242484 251001 306779 334668 363726 444554 502002 613558 666831 727452 889108 920337 1004004 1227116 1333662 1840674 2000493 2667324 2761011 3374569 3681348 4000986 5522022 6749138 8001972 10123707 11044044 13498276 20247414 30371121 37120259 40494828 60742242 74240518 111360777 121484484 148481036 222721554 334082331 445443108 668164662 1336329324