Search a number
-
+
1336338324 = 223419375867
BaseRepresentation
bin100111110100110…
…1110011110010100
310110010120000120000
41033221232132110
510214100311244
6340334211300
745054455046
oct11751563624
93403500500
101336338324
11626367842
12313653b30
13183b1bc49
14c969da96
157c4bc169
hex4fa6e794

1336338324 has 120 divisors (see below), whose sum is σ = 3777348960. Its totient is φ = 410526144.

The previous prime is 1336338317. The next prime is 1336338337. The reversal of 1336338324 is 4238336331.

1336338324 is a `hidden beast` number, since 13 + 3 + 633 + 8 + 3 + 2 + 4 = 666.

It is a super-2 number, since 2×13363383242 = 3571600232382257952, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 224839 + ... + 230705.

It is an arithmetic number, because the mean of its divisors is an integer number (31477908).

Almost surely, 21336338324 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 1336338324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1888674480).

1336338324 is an abundant number, since it is smaller than the sum of its proper divisors (2441010636).

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

1336338324 is a wasteful number, since it uses less digits than its factorization.

1336338324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5939 (or 5928 counting only the distinct ones).

The product of its digits is 93312, while the sum is 36.

The square root of 1336338324 is about 36555.9615384413. The cubic root of 1336338324 is about 1101.4686509490.

The spelling of 1336338324 in words is "one billion, three hundred thirty-six million, three hundred thirty-eight thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 37 38 54 57 74 76 81 108 111 114 148 162 171 222 228 324 333 342 444 513 666 684 703 999 1026 1332 1406 1539 1998 2052 2109 2812 2997 3078 3996 4218 5867 5994 6156 6327 8436 11734 11988 12654 17601 18981 23468 25308 35202 37962 52803 56943 70404 75924 105606 111473 113886 158409 211212 217079 222946 227772 316818 334419 434158 445892 475227 633636 651237 668838 868316 950454 1003257 1302474 1337676 1900908 1953711 2006514 2604948 3009771 3907422 4013028 4124501 5861133 6019542 7814844 8249002 9029313 11722266 12039084 12373503 16498004 17583399 18058626 23444532 24747006 35166798 36117252 37120509 49494012 70333596 74241018 111361527 148482036 222723054 334084581 445446108 668169162 1336338324