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64680336 = 2433773293
BaseRepresentation
bin1111011010111…
…1000110010000
311111201002202000
43312233012100
5113024232321
610230154000
71413526260
oct366570620
9144632660
1064680336
1133568326
12197b2900
13105283b6
1488397a0
155a29826
hex3daf190

64680336 has 160 divisors (see below), whose sum is σ = 215819520. Its totient is φ = 18164736.

The previous prime is 64680307. The next prime is 64680349. The reversal of 64680336 is 63308646.

64680336 is a `hidden beast` number, since 646 + 8 + 0 + 3 + 3 + 6 = 666.

It is a super-3 number, since 3×646803363 (a number of 24 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 64680336.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 220606 + ... + 220898.

It is an arithmetic number, because the mean of its divisors is an integer number (1348872).

Almost surely, 264680336 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 64680336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107909760).

64680336 is an abundant number, since it is smaller than the sum of its proper divisors (151139184).

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

64680336 is a wasteful number, since it uses less digits than its factorization.

64680336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 64680336 is about 8042.4085944448. The cubic root of 64680336 is about 401.4123737977.

The spelling of 64680336 in words is "sixty-four million, six hundred eighty thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 73 84 108 112 126 144 146 168 189 216 219 252 292 293 336 378 432 438 504 511 584 586 657 756 876 879 1008 1022 1168 1172 1314 1512 1533 1752 1758 1971 2044 2051 2344 2628 2637 3024 3066 3504 3516 3942 4088 4102 4599 4688 5256 5274 6132 6153 7032 7884 7911 8176 8204 9198 10512 10548 12264 12306 13797 14064 15768 15822 16408 18396 18459 21096 21389 24528 24612 27594 31536 31644 32816 36792 36918 42192 42778 49224 55188 55377 63288 64167 73584 73836 85556 98448 110376 110754 126576 128334 147672 149723 171112 192501 220752 221508 256668 295344 299446 342224 385002 443016 449169 513336 577503 598892 770004 886032 898338 1026672 1155006 1197784 1347507 1540008 1796676 2310012 2395568 2695014 3080016 3593352 4042521 4620024 5390028 7186704 8085042 9240048 10780056 16170084 21560112 32340168 64680336