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136331304 = 23323312257
BaseRepresentation
bin10000010000001…
…00000000101000
3100111112100101120
420020010000220
5234400100204
621310015240
73243540234
oct1010040050
9314470346
10136331304
116aa567aa
12397a7520
1322324515
141416b5c4
15be7e6d9
hex8204028

136331304 has 96 divisors (see below), whose sum is σ = 368919360. Its totient is φ = 41902080.

The previous prime is 136331297. The next prime is 136331309. The reversal of 136331304 is 403133631.

136331304 is nontrivially palindromic in base 16.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (136331309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 530344 + ... + 530600.

It is an arithmetic number, because the mean of its divisors is an integer number (3842910).

Almost surely, 2136331304 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 136331304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184459680).

136331304 is an abundant number, since it is smaller than the sum of its proper divisors (232588056).

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

136331304 is a wasteful number, since it uses less digits than its factorization.

136331304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

The square root of 136331304 is about 11676.0996912496. The cubic root of 136331304 is about 514.6735657154.

Adding to 136331304 its sum of digits (24), we get a triangular number (136331328 = T16512).

Adding to 136331304 its reverse (403133631), we get a palindrome (539464935).

The spelling of 136331304 in words is "one hundred thirty-six million, three hundred thirty-one thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 23 24 31 46 62 69 92 93 124 138 184 186 248 257 276 372 514 552 713 744 771 961 1028 1426 1542 1922 2056 2139 2852 2883 3084 3844 4278 5704 5766 5911 6168 7688 7967 8556 11532 11822 15934 17112 17733 22103 23064 23644 23901 31868 35466 44206 47288 47802 63736 66309 70932 88412 95604 132618 141864 176824 183241 191208 246977 265236 366482 493954 530472 549723 732964 740931 987908 1099446 1465928 1481862 1975816 2198892 2963724 4397784 5680471 5927448 11360942 17041413 22721884 34082826 45443768 68165652 136331304