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644810940 = 2232529123527
BaseRepresentation
bin100110011011110…
…000100010111100
31122221022210022200
4212123300202330
52310032422230
6143552311500
721656542164
oct4633604274
91587283280
10644810940
11300a85004
1215bb42590
13a3788147
14618cd5a4
153b920160
hex266f08bc

644810940 has 72 divisors (see below), whose sum is σ = 2023388640. Its totient is φ = 166018944.

The previous prime is 644810939. The next prime is 644810983. The reversal of 644810940 is 49018446.

It is a happy number.

644810940 is a `hidden beast` number, since 644 + 8 + 1 + 0 + 9 + 4 + 0 = 666.

644810940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×6448109402 = 831562296687367200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 644810895 and 644810904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56544 + ... + 66983.

It is an arithmetic number, because the mean of its divisors is an integer number (28102620).

Almost surely, 2644810940 is an apocalyptic number.

644810940 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

644810940 is an abundant number, since it is smaller than the sum of its proper divisors (1378577700).

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

644810940 is a wasteful number, since it uses less digits than its factorization.

644810940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123571 (or 123566 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 644810940 is about 25393.1278104923. The cubic root of 644810940 is about 863.9278328354.

The spelling of 644810940 in words is "six hundred forty-four million, eight hundred ten thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 87 90 116 145 174 180 261 290 348 435 522 580 870 1044 1305 1740 2610 5220 123527 247054 370581 494108 617635 741162 1111743 1235270 1482324 1852905 2223486 2470540 3582283 3705810 4446972 5558715 7164566 7411620 10746849 11117430 14329132 17911415 21493698 22234860 32240547 35822830 42987396 53734245 64481094 71645660 107468490 128962188 161202735 214936980 322405470 644810940