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646145344 = 26135913163
BaseRepresentation
bin100110100000110…
…110010101000000
31200000211120210001
4212200312111000
52310403122334
6144041045344
722004100445
oct4640662500
91600746701
10646145344
11301806619
12160486854
13a3b34630
1461b599cc
153bad5714
hex26836540

646145344 has 56 divisors (see below), whose sum is σ = 1404335520. Its totient is φ = 293144064.

The previous prime is 646145323. The next prime is 646145359. The reversal of 646145344 is 443541646.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42507 + ... + 55669.

It is an arithmetic number, because the mean of its divisors is an integer number (25077420).

Almost surely, 2646145344 is an apocalyptic number.

646145344 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 646145344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702167760).

646145344 is an abundant number, since it is smaller than the sum of its proper divisors (758190176).

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

646145344 is a wasteful number, since it uses less digits than its factorization.

646145344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13247 (or 13237 counting only the distinct ones).

The product of its digits is 138240, while the sum is 37.

The square root of 646145344 is about 25419.3891350677. The cubic root of 646145344 is about 864.5233740279.

The spelling of 646145344 in words is "six hundred forty-six million, one hundred forty-five thousand, three hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 59 64 104 118 208 236 416 472 767 832 944 1534 1888 3068 3776 6136 12272 13163 24544 26326 49088 52652 105304 171119 210608 342238 421216 684476 776617 842432 1368952 1553234 2737904 3106468 5475808 6212936 10096021 10951616 12425872 20192042 24851744 40384084 49703488 80768168 161536336 323072672 646145344