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644074038 = 233431032693
BaseRepresentation
bin100110011000111…
…100101000110110
31122212221100111000
4212120330220312
52304340332123
6143524424130
721650352606
oct4630745066
91585840430
10644074038
113006213a3
1215b848046
13a358a8ca
146177ac06
153b826b43
hex2663ca36

644074038 has 64 divisors (see below), whose sum is σ = 1479329280. Its totient is φ = 207585504.

The previous prime is 644074009. The next prime is 644074049. The reversal of 644074038 is 830470446.

644074038 is a `hidden beast` number, since 644 + 0 + 7 + 4 + 0 + 3 + 8 = 666.

644074038 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 644073993 and 644074011.

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, 237820 + ... + 240512.

It is an arithmetic number, because the mean of its divisors is an integer number (23114520).

Almost surely, 2644074038 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 644074038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739664640).

644074038 is an abundant number, since it is smaller than the sum of its proper divisors (835255242).

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

644074038 is a wasteful number, since it uses less digits than its factorization.

644074038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2850 (or 2844 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 644074038 is about 25378.6137919312. The cubic root of 644074038 is about 863.5986030928.

The spelling of 644074038 in words is "six hundred forty-four million, seventy-four thousand, thirty-eight".

Divisors: 1 2 3 6 9 18 27 43 54 86 103 129 206 258 309 387 618 774 927 1161 1854 2322 2693 2781 4429 5386 5562 8079 8858 13287 16158 24237 26574 39861 48474 72711 79722 115799 119583 145422 231598 239166 277379 347397 554758 694794 832137 1042191 1664274 2084382 2496411 3126573 4992822 6253146 7489233 11927297 14978466 23854594 35781891 71563782 107345673 214691346 322037019 644074038