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64301412 = 223717371217
BaseRepresentation
bin1111010101001…
…0100101100100
311110222211221210
43311102211210
5112430121122
610214111420
71410360450
oct365224544
9143884853
1064301412
113332966a
121964b570
1310424a96
14877b660
1559a240c
hex3d52964

64301412 has 96 divisors (see below), whose sum is σ = 186617088. Its totient is φ = 16809984.

The previous prime is 64301411. The next prime is 64301417. The reversal of 64301412 is 21410346.

64301412 is digitally balanced in base 2, 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 (21).

It is not an unprimeable number, because it can be changed into a prime (64301411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52228 + ... + 53444.

It is an arithmetic number, because the mean of its divisors is an integer number (1943928).

Almost surely, 264301412 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 64301412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93308544).

64301412 is an abundant number, since it is smaller than the sum of its proper divisors (122315676).

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

64301412 is a wasteful number, since it uses less digits than its factorization.

64301412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1285 (or 1283 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 64301412 is about 8018.8161220968. The cubic root of 64301412 is about 400.6269584610.

Adding to 64301412 its reverse (21410346), we get a palindrome (85711758).

It can be divided in two parts, 64 and 301412, that added together give a triangular number (301476 = T776).

The spelling of 64301412 in words is "sixty-four million, three hundred one thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 37 42 51 68 74 84 102 111 119 148 204 222 238 259 357 444 476 518 629 714 777 1036 1217 1258 1428 1554 1887 2434 2516 3108 3651 3774 4403 4868 7302 7548 8519 8806 13209 14604 17038 17612 20689 25557 26418 34076 41378 45029 51114 52836 62067 82756 90058 102228 124134 135087 144823 180116 248268 270174 289646 315203 434469 540348 579292 630406 765493 868938 945609 1260812 1530986 1737876 1891218 2296479 3061972 3782436 4592958 5358451 9185916 10716902 16075353 21433804 32150706 64301412