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64361304 = 2334722027
BaseRepresentation
bin1111010110000…
…1001101011000
311111002220010000
43311201031120
5112434030204
610215253000
71411030200
oct365411530
9144086100
1064361304
113336a667
121967a160
1310446117
148795400
1559b5039
hex3d61358

64361304 has 120 divisors (see below), whose sum is σ = 209806740. Its totient is φ = 18379872.

The previous prime is 64361273. The next prime is 64361317. The reversal of 64361304 is 40316346.

64361304 is a `hidden beast` number, since 6 + 43 + 613 + 0 + 4 = 666.

64361304 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 (27).

It is a congruent number.

It is an unprimeable number.

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 29 ways as a sum of consecutive naturals, for example, 30739 + ... + 32765.

Almost surely, 264361304 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 64361304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104903370).

64361304 is an abundant number, since it is smaller than the sum of its proper divisors (145445436).

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

64361304 is a wasteful number, since it uses less digits than its factorization.

64361304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2059 (or 2039 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 64361304 is about 8022.5497193847. The cubic root of 64361304 is about 400.7513046365.

The spelling of 64361304 in words is "sixty-four million, three hundred sixty-one thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 49 54 56 63 72 81 84 98 108 126 147 162 168 189 196 216 252 294 324 378 392 441 504 567 588 648 756 882 1134 1176 1323 1512 1764 2027 2268 2646 3528 3969 4054 4536 5292 6081 7938 8108 10584 12162 14189 15876 16216 18243 24324 28378 31752 36486 42567 48648 54729 56756 72972 85134 99323 109458 113512 127701 145944 164187 170268 198646 218916 255402 297969 328374 340536 383103 397292 437832 510804 595938 656748 766206 794584 893907 1021608 1149309 1191876 1313496 1532412 1787814 2298618 2383752 2681721 3064824 3575628 4597236 5363442 7151256 8045163 9194472 10726884 16090326 21453768 32180652 64361304