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64434636 = 22337292939
BaseRepresentation
bin1111010111001…
…1000111001100
311111020121201000
43311303013030
5112443402021
610221020300
71411454040
oct365630714
9144217630
1064434636
113340a772
12196b4690
1310470606
1487b4020
1559cbb26
hex3d731cc

64434636 has 96 divisors (see below), whose sum is σ = 197568000. Its totient is φ = 17769024.

The previous prime is 64434619. The next prime is 64434659. The reversal of 64434636 is 63643446.

64434636 is a `hidden beast` number, since 644 + 3 + 4 + 6 + 3 + 6 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 64434636.

It is a congruent number.

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, 20455 + ... + 23393.

It is an arithmetic number, because the mean of its divisors is an integer number (2058000).

Almost surely, 264434636 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 64434636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98784000).

64434636 is an abundant number, since it is smaller than the sum of its proper divisors (133133364).

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

64434636 is a wasteful number, since it uses less digits than its factorization.

64434636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2988 (or 2980 counting only the distinct ones).

The product of its digits is 124416, while the sum is 36.

The square root of 64434636 is about 8027.1187857163. The cubic root of 64434636 is about 400.9034495775.

The spelling of 64434636 in words is "sixty-four million, four hundred thirty-four thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 29 36 42 54 58 63 84 87 108 116 126 174 189 203 252 261 348 378 406 522 609 756 783 812 1044 1218 1566 1827 2436 2939 3132 3654 5481 5878 7308 8817 10962 11756 17634 20573 21924 26451 35268 41146 52902 61719 79353 82292 85231 105804 123438 158706 170462 185157 246876 255693 317412 340924 370314 511386 555471 596617 740628 767079 1022772 1110942 1193234 1534158 1789851 2221884 2301237 2386468 3068316 3579702 4602474 5369553 7159404 9204948 10739106 16108659 21478212 32217318 64434636