Search a number
-
+
3665664 = 28323743
BaseRepresentation
bin1101111110111100000000
320220020100100
431332330000
51414300124
6210322400
743105032
oct15767400
96806310
103665664
112084082
121289400
139b4642
146b5c52
154c61c9
hex37ef00

3665664 has 108 divisors (see below), whose sum is σ = 11107096. Its totient is φ = 1161216.

The previous prime is 3665653. The next prime is 3665677. The reversal of 3665664 is 4665663.

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 11 ways as a sum of consecutive naturals, for example, 85227 + ... + 85269.

Almost surely, 23665664 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 3665664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5553548).

3665664 is an abundant number, since it is smaller than the sum of its proper divisors (7441432).

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

3665664 is a wasteful number, since it uses less digits than its factorization.

3665664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 85 counting only the distinct ones).

The product of its digits is 77760, while the sum is 36.

The square root of 3665664 is about 1914.5923848172. The cubic root of 3665664 is about 154.1881099302.

Subtracting 3665664 from its reverse (4665663), we obtain a palindrome (999999).

The spelling of 3665664 in words is "three million, six hundred sixty-five thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 43 48 64 72 74 86 96 111 128 129 144 148 172 192 222 256 258 288 296 333 344 384 387 444 516 576 592 666 688 768 774 888 1032 1152 1184 1332 1376 1548 1591 1776 2064 2304 2368 2664 2752 3096 3182 3552 4128 4736 4773 5328 5504 6192 6364 7104 8256 9472 9546 10656 11008 12384 12728 14208 14319 16512 19092 21312 24768 25456 28416 28638 33024 38184 42624 49536 50912 57276 76368 85248 99072 101824 114552 152736 203648 229104 305472 407296 458208 610944 916416 1221888 1832832 3665664