Search a number
-
+
3644406612 = 22327113735533
BaseRepresentation
bin1101100100111001…
…0011101101010100
3100101222121001000200
43121032103231110
524430432002422
61401344140500
7156211642110
oct33116235524
910358531020
103644406612
1116001996a0
12858607730
1346105a622
1426802c740
15164e342ac
hexd9393b54

3644406612 has 144 divisors (see below), whose sum is σ = 11796150912. Its totient is φ = 920989440.

The previous prime is 3644406589. The next prime is 3644406659. The reversal of 3644406612 is 2166044463.

3644406612 is a `hidden beast` number, since 3 + 644 + 4 + 0 + 6 + 6 + 1 + 2 = 666.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 84798 + ... + 120330.

Almost surely, 23644406612 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 3644406612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5898075456).

3644406612 is an abundant number, since it is smaller than the sum of its proper divisors (8151744300).

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

3644406612 is a wasteful number, since it uses less digits than its factorization.

3644406612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35598 (or 35593 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 3644406612 is about 60368.9209113431. The cubic root of 3644406612 is about 1538.8948347849.

The spelling of 3644406612 in words is "three billion, six hundred forty-four million, four hundred six thousand, six hundred twelve".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 37 42 44 63 66 74 77 84 99 111 126 132 148 154 198 222 231 252 259 308 333 396 407 444 462 518 666 693 777 814 924 1036 1221 1332 1386 1554 1628 2331 2442 2772 2849 3108 3663 4662 4884 5698 7326 8547 9324 11396 14652 17094 25641 34188 35533 51282 71066 102564 106599 142132 213198 248731 319797 390863 426396 497462 639594 746193 781726 994924 1172589 1279188 1314721 1492386 1563452 2238579 2345178 2629442 2736041 2984772 3517767 3944163 4477158 4690356 5258884 5472082 7035534 7888326 8208123 8954316 9203047 10944164 11832489 14071068 14461931 15776652 16416246 18406094 23664978 24624369 27609141 28923862 32832492 36812188 43385793 47329956 49248738 55218282 57847724 82827423 86771586 98497476 101233517 110436564 130157379 165654846 173543172 202467034 260314758 303700551 331309692 404934068 520629516 607401102 911101653 1214802204 1822203306 3644406612