Search a number
-
+
644130640 = 245232831237
BaseRepresentation
bin100110011001001…
…010011101010000
31122220001020010101
4212121022131100
52304344140030
6143525542144
721651006616
oct4631123520
91586036111
10644130640
1130065a97a
1215b874954
13a35aa5ba
14617936b6
153b8387ca
hex2664a750

644130640 has 80 divisors (see below), whose sum is σ = 1569506688. Its totient is φ = 245380608.

The previous prime is 644130601. The next prime is 644130661. The reversal of 644130640 is 46031446.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 644130599 and 644130608.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 520102 + ... + 521338.

Almost surely, 2644130640 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 644130640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (784753344).

644130640 is an abundant number, since it is smaller than the sum of its proper divisors (925376048).

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

644130640 is a wasteful number, since it uses less digits than its factorization.

644130640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1556 (or 1550 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 644130640 is about 25379.7289189621. The cubic root of 644130640 is about 863.6239003792.

The spelling of 644130640 in words is "six hundred forty-four million, one hundred thirty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 115 184 230 283 368 460 566 920 1132 1237 1415 1840 2264 2474 2830 4528 4948 5660 6185 6509 9896 11320 12370 13018 19792 22640 24740 26036 28451 32545 49480 52072 56902 65090 98960 104144 113804 130180 142255 227608 260360 284510 350071 455216 520720 569020 700142 1138040 1400284 1750355 2276080 2800568 3500710 5601136 7001420 8051633 14002840 16103266 28005680 32206532 40258165 64413064 80516330 128826128 161032660 322065320 644130640