Search a number
-
+
646436240 = 245191034129
BaseRepresentation
bin100110100001111…
…101010110010000
31200001101100210222
4212201331112100
52310441424430
6144051212212
722006421522
oct4641752620
91601340728
10646436240
1130199512a
121605a7068
13a3c06b68
1461bd3a12
153bb419e5
hex2687d590

646436240 has 80 divisors (see below), whose sum is σ = 1597814400. Its totient is φ = 242528256.

The previous prime is 646436179. The next prime is 646436249. The reversal of 646436240 is 42634646.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 646436240.

It is not an unprimeable number, because it can be changed into a prime (646436249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 154496 + ... + 158624.

It is an arithmetic number, because the mean of its divisors is an integer number (19972680).

Almost surely, 2646436240 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 646436240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (798907200).

646436240 is an abundant number, since it is smaller than the sum of its proper divisors (951378160).

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

646436240 is a wasteful number, since it uses less digits than its factorization.

646436240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4264 (or 4258 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 35.

The square root of 646436240 is about 25425.1104225724. The cubic root of 646436240 is about 864.6530913138.

The spelling of 646436240 in words is "six hundred forty-six million, four hundred thirty-six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 103 152 190 206 304 380 412 515 760 824 1030 1520 1648 1957 2060 3914 4120 4129 7828 8240 8258 9785 15656 16516 19570 20645 31312 33032 39140 41290 66064 78280 78451 82580 156560 156902 165160 313804 330320 392255 425287 627608 784510 850574 1255216 1569020 1701148 2126435 3138040 3402296 4252870 6276080 6804592 8080453 8505740 16160906 17011480 32321812 34022960 40402265 64643624 80804530 129287248 161609060 323218120 646436240